11-6 rational expressions w/ like denominators
DESCRIPTION
11-6 Rational Expressions w/ Like Denominators. EQ How are adding & subtracting rational expressions like adding & subtracting fractions?. Rules. If denominators are the same, just add/subtract numerators. (keep denominators the same) Simplify answer, if possible. Examples. 1). Dooyo. - PowerPoint PPT PresentationTRANSCRIPT
11-611-6 Rational Rational Expressions w/ Like Expressions w/ Like
DenominatorsDenominatorsEQEQ How are adding & How are adding & subtracting rational subtracting rational
expressions like adding & expressions like adding & subtracting fractions?subtracting fractions?
Rules If denominators are the same, just
add/subtract numerators. (keep denominators the same)
Simplify answer, if possible.
Examples1)
€
4b
15+16b
15
€
4b+16b
15
€
20b
15
€
4b
3
Dooyo
€
4x
5dy+7
5dy
€
4x + 7
5dy
Examples1)
€
4b
15+16b
15
€
4b+16b
15
€
20b
15
€
4b
3
2)
€
6c
c + 2+12
c + 2
€
6c +12
c + 2
€
6(c + 2)
c + 2
€
6
Dooyo
€
15x
33x + 9+
3
33x + 9
€
15x + 3
33x + 9
€
3(5x +1)
3(11x + 3)
€
5x +1
11x + 3
Examples3)
€
7x + 9
x − 3−x −5
x − 3
€
7x + 9 − x −5( )x − 3
€
7x + 9 − x + 5
x − 3
€
6x +14
x − 3
The minus must get distributed!
Dooyo
€
2y − 3
y + 5−3y + 7
y + 5
€
2y − 3− 3y − 7
y + 5
€
−y −10y + 5
Examples3)
€
7x + 9
x − 3−x −5
x − 3
€
7x + 9 − x −5( )x − 3
€
7x + 9 − x + 5
x − 3
€
6x +14
x − 3
4)
€
3s
11− s+−5s
s−11
€
−3ss−11
+−5s
s−11
€
−8ss−11
Summarize Explain to your neighbor the distributive
property is used when subtracting rational expressions.