Factorizing Algebraic Expressions Worksheet Page 16
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18Answers 2.6
Section 1
1. (a) 6(x + 4)
(e) 2x(3x + 4 + 6y)
(i) (t
2)(2t + 1)
(b) 4x(2x
1)
(f) (4m + 5)(2m
3)
(j) (2y
5)(3y + 2)
(c) 2xy(3 + 5x)
(g) (x + 5)(x + 2)
2
2
(d) m
(m
3)
(h) (m
4)(m + 3)
Section 2
2
2
2
1. (a) x
4
(d) x
49
(g) 9y
25
2
2
(b) y
25
(e) 4x
1
2
(h) 4t
49
2
2
(c) y
36
(f) 9m
16
2. (a) (x + 4)(x
4)
(d) (2x + 5)(2x
5)
(g) (2m + 7)(2m
7)
(b) (y + 7)(y
7)
(e) (4 + y)(4
y)
(h) (3m + 4)(3m
4)
(c) (x + 5)(x
5)
(f) (m + 6)(m
6)
2
2
2
3. (a) x
+ 10x + 25
(d) m
6m + 9
(g) y
+ 16y + 64
2
2
(b) x
+ 18x + 81
(e) 4m
+ 20m + 25
2
2
2
(h) t
+ 12t + 36
(c) y
4y + 4
(f) t
+ 20t + 100
2
2
2
4. (a) (y
3)
(d) (x + 10)
(g) (m
6)
2
2
(b) (x
5)
(e) (m + 8)
2
2
2
(h) (t + 9)
(c) (x + 4)
(f) (t
15)
Section 3
1. (a), (b), (e), and (f)
Section 4 part 1
1. (a) (x + 3)(x + 1)
(e) (x + 6)(x + 4)
(b) (x + 11)(x + 4)
(f) (x
12)(x
2)
(c) (x + 13)(x
2)
(d) (x + 10)(x
3)
(g) (x
5)(x
2)
Page 16
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