Answers and Explanations 161
Answers
1–100
93.
5x
3
– 15x
2
Distribute to get
5
3
5
15
2
3
2
x x
x
x
(
)
−
=
−
94.
3x
2
+ 7x – 20
Distribute each term in the first factor to each term in the second factor. Then collect
like terms:
(
)(
)
x
x
x
x
x
x
x
+
−
=
−
+
−
=
+
−
4 3
5
3
5 12
20
3
7
20
2
2
95.
x
2
y – xy
2
+ 6xy
Multiply each term in the first factor by xy:
x y
xy
x y xy
xy
− +
(
)
=
−
+
6
6
2
2
( )
96.
2x
3
– 3x
2
+ 9x – 4
Distribute each term in the first factor to each term in the second factor and then
collect like terms:
(
)
2 1
4
2
2
8
4
2
3
9
4
2
3
2
2
3
2
x
x
x
x
x
x x
x
x
x
x
−
− +
(
)
=
−
+
− + −
=
−
+
−
97.
− −
−
−
−
−
x
x
x
x
x
x
6
5
4
3
2
3
3
9
2
6
Begin by distributing –x to each term in the second factor:
−
+
+
(
) +
= − −
−
(
) +
x x
x
x
x
x
x x
4
2
5
3
3
2
3
3
2
3
(
)
(
)
Next, multiply each term in the first factor by each term in the second factor:
− −
−
(
) +
= − −
−
−
−
−
x
x
x x
x
x
x
x
x
x
5
3
6
5
4
3
2
3
2
3
3
3
9
2
6
(
)