Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 2483 xx

Method # 1 : Find your LIKE TERMS and if they are variables, ADD their exponents.

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 28432483 xxx

Method # 1 : Find your LIKE TERMS and if they are variables, ADD their exponents.

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 10728432483 xxxx

Method # 1 : Find your LIKE TERMS and if they are variables, ADD their exponents.

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 10728432483 xxxx

Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables.

EXAMPLE # 2 : yxyx 632

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 10728432483 xxxx

Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables.

EXAMPLE # 2 : yxyx 632

yx

yx

6

32

+

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 10728432483 xxxx

Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables.

EXAMPLE # 2 : yxyx 632

yx

yx

6

32

+

yx 44

Binomials – Addition / Subtraction

Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

EXAMPLE # 1 : 10728432483 xxxx

Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables.

EXAMPLE # 2 : yxyxyx 44632

yx

yx

6

32

+

yx 44

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

EXAMPLE # 1 : 53x

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

EXAMPLE # 1 : 5353 xx

Change ( - ) to ( + )

The opposite of (+ 3x) is (– 3x)

The opposite of ( +5 ) is (– 5 )

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

EXAMPLE # 1 : 5353 xx

EXAMPLE # 2 : ba 53

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

EXAMPLE # 1 : 5353 xx

EXAMPLE # 2 : baba 5353

Change ( - ) to ( + )

The opposite of (- 3a) is (+ 3a)

The opposite of ( -5b ) is (+5b )

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

EXAMPLE # 1 : 5353 xx

EXAMPLE # 2 : baba 5353

EXAMPLE # 3 : 97x

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

Let’s practice changing signs first…

EXAMPLE # 1 : 5353 xx

EXAMPLE # 2 : baba 5353

EXAMPLE # 3 : 9797 xx Change ( - ) to ( + )

The opposite of (-7x) is (+7x)

The opposite of ( +9 ) is (– 9 )

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

EXAMPLE # 4 : 4315 xx

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

EXAMPLE # 4 : 43154315 xxxxMake your change…

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

EXAMPLE # 4 : 43154315 xxxx

Now treat the problem like an addition problem…

324135 xx

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

EXAMPLE # 4 : 43154315 xxxx

324135 xx

EXAMPLE # 5 : yxyx 93410

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

EXAMPLE # 4 : 43154315 xxxx

324135 xx

EXAMPLE # 5 : yxyxyxyx 9341093410 Make your change…

Binomials – Addition / Subtraction

Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2nd parentheses and change the subtraction to an addition sign.

EXAMPLE # 4 : 43154315 xxxx

324135 xx

EXAMPLE # 5 : yxyxyxyx 9341093410

yxyx 13794310 Now treat the problem like an addition problem…

Binomials – Addition / Subtraction

Combination problems – sometimes you will have both operations in one problem. Make your change for the subtraction part, then add coefficients of variables and any constants to get your answer.

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE : yxyxyx 10156332

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

x

yxyxyx

1532

10156332

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

yx

yxyxyx

10631532

10156332

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

yxyx

yxyxyx

71410631532

10156332

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

yxyx

yxyxyx

71410631532

10156332

EXAMPLE 2 : nmnmnm 5126325

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

yxyx

yxyxyx

71410631532

10156332

EXAMPLE 2 :

nmnmnm

nmnmnm

5126325

5126325

Make your change…

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

yxyx

yxyxyx

71410631532

10156332

EXAMPLE 2 :

nm

nmnmnm

nmnmnm

5621235

5126325

5126325

Binomials – Addition / Subtraction

Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer.

EXAMPLE :

yxyx

yxyxyx

71410631532

10156332

EXAMPLE 2 :

nm

nm

nmnmnm

nmnmnm

134

5621235

5126325

5126325