operation of multiplications of algebraic forms

Operation Of Algebraic Form

I. Operation Of Addition and Subtraction

The Properties of Addition Operationa) Commutative : a + b = b + ab) Distributive : i) a b + a c = a( b + c )ii) a b – a c = a ( b – c ) c) Associative a + b + c = ( a + b ) + c = a + ( b + c ) = ( a + c ) + b

Before discuss about multipication let’s memories about addition and subtraction

Examples

1. Find the sum of :a. 3a- 2 and 7a + 6b. 5 -2 - 3 and 7 + 5 + 6 c. 2a + 3b and 3a- 2bd. 5m -7n + 4 and 2m+3n -9e. 5 + + and

solution

a. (3a- 2 ) + ( 7a + 6) = (3a + 7a) + ( -2 +6) = 10 a + 4Vertical method : 3a - 2 7a + 6 +------------ 10a + 4

Find the others solutions

b. 5 -2 - 3 and 7 + 5 + 6

c. 2a + 3b and 3a- 2b

d. 5m -7n + 4 and 2m+3n -9

e. 5 + + and + + 5

2. Subtract

a. 4b- 7 from 5b + 2b. 3a – 4b from 5a – 10bc. 3 + + 4 from + + 5d. 5 - – 8 from - 2 -5e. 6 - 5 + 4 from 6 - 7 + 3

Solution

a. 4b- 7 from 5b + 2 ( 5b + 2 ) – (4b- 7) = (5b- 4b) + (2-(-7) ) = b + 9Vertical method5b + 24b – 7 –_______b + 9

Find The Others solutions !

Who would like to try to fin solution ?

I have to be a success student

Now, let’s discuss about………..

II. Multiplication

Examples a) 5 x = 5 b) 2 x = 2 c) 4(2 + ) = (4x 2 ) + (4 x b) = 8a + 4b

d) 2(3 + + ) = 6 + +

Exercises ( do by discuss)

Simplify the following Algebraic expressionsa) 5(2 + )b) 5 + 2(3 + c) 12 (4 d) 2(3+ + 3( + e) 5( + 3( f) 4(3 + )

Remember

 Be a student so long as you still have something to learn, and this will mean all your life.  ~Henry L. Doherty (“Jadilah penuntut ilmu selama kau masih memiliki sesuatu untuk dipelajari, dan hal ini akan menjadi tujuan seluruh hidupmu”)

I am learning all the time.  The tombstone will be my diploma.  ~Eartha Kitt(“Aku belajar setiap waktu. Batu nisan akan menjadi ijazahku”.)

About “Sukses” dan “Gagal”