Factorizing Algebraic Expressions Worksheet Page 18

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Section 7
(x+4)(x 3)
x(2x+3)
(x 4)(x+2)
1. (a)
(c)
(e)
x+2
5(x+5)
(2x 1)(x+7)
4
x(3x+2)
(b)
(d)
3(x 4)
5(2x+1)
Exercises 2.6
2
2
2
1. (a) x
4
(b) 4x
16y
2. (a) (12x
y)(12x + y)
(h) (x + 3)(2x + 1)
(b) (4a
3b)(4a + 3b)
(i) (b + 3)(5b + 2)
2
(c) (x + 5)(x + 2)
(j) 2(3y + 1)
(d) (b + 7)(b + 2)
(k) 6(x + 1)(2x
1)
2
(e) (x + 7)
(l) (7a + 5)(a
2)
(f) (x + 3)(x
2)
(m) (x + 2)(1
x)
(g) 2x(x
3)(x + 8)
(n) (2x + 1)(2
x)
x(x+2)
5
13
5+
13
3. (a) [x
(
)][x
(
)] or
(e)
2
2
x+3
2x+5+
13
2x+5
13
(
)(
) or
2
2
x(x+3)
(f)
1
(2x + 5 +
13)(2x + 5
13)
(2x+1)(x+1)
4
(b) (2x + 1)(x
1)
2
4x
3x+9
(g)
2
(x+3)
(x 3)
A+2
(c)
3
2(x+2)
(h) x = 3 or x = 1
(d)
2x+3
Page 18

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