(ABAN)
Operations on Algebraic Expressions and Factoring Exercises
I
Perform the indicated operations and simplify.
1.
x
+ 8 +
xy
2
-
y
2
+
xy
-
[7
xy
2
-
(
y
2
-
xy
+
x
+ 1)]
2. 6
mn
+ 7
m
2
+ 13
mn
2
-
12
mn
3. (2
x
+
y
)(2
x
-
y
)
4. (4
x
+ 9
y
)(4
x
-
9
y
)
5. (2
x
-
3
y
)(4
x
2
+ 6
xy
+ 9
y
2
)
6. (3
a
+ 4
b
)(9
a
2
-
12
ab
+ 16
b
2
)
7. (
u
1
3
+
v
1
6
)(
u
2
3
-
u
1
3
v
1
6
+
v
1
3
)
8. (
x
+ 2
y
)(
x
-
6
y
)
9. (2
x
-
7
y
)(3
x
+ 5
y
)
10. (7
x
-
2
y
)(8
x
-
3
y
)
11. (
x
+ 4
y
)
2
12. (2
x
-
3
y
)
2
13. (
x
-
y
)
3
14. (2
x
-
3
y
)
3
15. (2
x
+
y
)
4
16.
(18
a
2
b
4
c
5
-
45
a
2
b
3
c
4
)
9
ab
3
c
4
17.
x
4
+
x
2
-
x
+3
x
-
3
18.
x
5
-
4
x
4
+2
x
3
-
x
2
+
x
-
1
x
+2
19.
x
5
-
1
x
-
1
20.
x
4
+3
x
3
+1
x
2
+
x
-
1
II
Factor the following completely.
1. 6
x
4
y
7
-
9
x
5
y
6
2. 30
a
8
b
5
+ 45
a
6
b
7
3. 4
x
(7
x
-
5
y
) + 11
y
(7
x
-
5
y
)
4. 16
a
2
-
9
5. 49
x
2
-
25
y
2
6. (
u
+
w
)
2
-
(
w
-
3)
2
7. (2
x
+
y
)
2
-
(2
x
+ 7)
2
8.
p
4
(
x
2
-
4)
-
16(
x
2
-
4)
9. 27
a
3
+ 125
10. 64
