Simplifying Fractions Worksheet With Answers - Mat 190 - 2008 Page 2
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1
23
2
4
2
3
3
13. Multiply: 3x
y(2x
y
– 5xy
+ 10x
y
)
14. Multiply: (2x – 7)(5x + 3)
5
5
4
3
6
4
2
6x
y
– 15x
y
+ 30x
y
10x
– 29x – 21
2
2
15. Multiply: (4x – 7)(2x
+ x – 9)
16. Multiply: (7x + 5)
3
2
2
8x
– 10x
– 43x + 63
49x
+ 70x + 25
Factor the following completely:
9
8
5
4
7
2
2
2
17. 72x
y
+ 90x
y
+ 27x
y
18. x
+ 4x – 21
19. x
– 49
5
2
4
6
2
2
9x
y
(8x
y
+ 10y
+ 3x
)
(x + 7)(x – 3)
(x + 7)(x – 7)
2
3
2
2
20. 16x
– 81
21. 3x
+ 6x
– 4x – 8
22. 8x
– 6x – 9
2
(4x + 9)(4x – 9)
(x + 2)(3x
– 4)
(2x – 3)(4x + 3)
2
2
x
x 7
18
x
x
2
x
4
+
−
+
−
+
23. Simplify:
24. Multiply and simplify:
•
2
2
x
4
+
x
15
x
54
x
x 6
5
+
+
−
+
x
2
x
2
−
+
x
6
x
5
+
−
2
2
x
10
x
24
x
x 6
+
+
+
25. Divide and simplify:
÷
2
2
x
11
x
28
x
12
x
35
+
+
+
+
x +
5
x
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