Download Section 10.1.1 Simplify each expression. State any values of the

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Section 10.1.1
Simplify each expression. State any values of the variables that would make the
denominator zero.
1.
12a
48a3
2.
6xyz 3
3x2 y 2 z
3.
36m3 np2
20m2 np5
4.
5c3 d4
40cd2 + 5c4 d2
5.
p2 − 8p + 12
p−2
6.
m+3
m2 − 9
7.
x2 − 7x + 10
x2 − 2x − 15
8.
t2 − 81
t2 − 12t + 27
9.
2b − 14
b2 − 9b + 14
10.
r2 + r − 6
r2 + 4r − 12
11.
2x2 + 18x + 36
3x2 − 3x − 36
12.
2y 2 + 9y + 4
4y 2 − 4y − 3
Sections 10.1.2 & 10.1.3
Multiply or divide the expressions. Leave your answers as simplified as possible.
For each rational expression, assume the denominator is not zero.
1.
18x2 15y 3
·
10y 2 24x
2.
4.
4x + 12 2x + 6
÷
6x − 24
x+3
5.
7.
s2 − 8s − 20 s + 2
÷
7
s−2
8.
10.
t2 + 6t + 9
t2 − t − 20
· 2
− 10t + 25 t + 7t + 12
t2
11.
14xy 2 36m4 n2
·
27m2 n
7x2 y
3.
mn2 p3
mnp2
÷ 3
4
2
x y
x y
a−4
a+3
·
− a − 12 a − 6
6.
4x + 8
x
· 2
2
x
x − 5x − 14
y 2 − 3y − 10 2y + 4
÷
y 2 − 9y + 8
y−1
9.
n2 + 10n + 16
n−2
· 2
5n − 10
n + 9n + 8
12.
y 2 + 6y − 7 y 2 + 9y + 14
÷
y 2 + 8y − 9 y 2 + 7y − 18
a2
n2
n−1
n2 − 6n + 5
÷
+ 2n − 15
4n − 12