Factorizing Algebraic Expressions Worksheet Page 4
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18Exercises:
1. Expand the following, and collect like terms:
(a) (x + 2)(x
2)
(b) (y + 5)(y
5)
(c) (y
6)(y + 6)
(d) (x + 7)(x
7)
(e) (2x + 1)(2x
1)
(f) (3m + 4)(3m
4)
(g) (3y + 5)(3y
5)
(h) (2t + 7)(2t
7)
2. Factorize the following:
2
2
(a) x
16
(e) 16
y
2
2
(b) y
49
(f) m
36
2
2
(c) x
25
(g) 4m
49
2
2
(d) 4x
25
(h) 9m
16
3. Expand the following and collect like terms:
(a) (x + 5)(x + 5)
(e) (2m + 5)(2m + 5)
(b) (x + 9)(x + 9)
(f) (t + 10)(t + 10)
2
(c) (y
2)(y
2)
(g) (y + 8)
2
(d) (m
3)(m
3)
(h) (t + 6)
4. Factorize the following:
2
2
(a) y
6y + 9
(e) m
+ 16m + 64
2
2
(b) x
10x + 25
(f) t
30t + 225
2
2
(c) x
+ 8x + 16
(g) m
12m + 36
2
2
(d) x
+ 20x + 100
(h) t
+ 18t + 81
Page 4
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