Factorizing Algebraic Expressions Worksheet Page 15
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18Exercises 2.6 Factorizing Algebraic Expressions
1. Expand
(a) (x + 2)(x
2)
(b) (2x + 4y)(2x
4y)
2. Factorize
2
2
2
(a) 144x
(h) 2x
+ 7x + 3
y
2
2
2
(b) 16a
9b
(i) 5b
+ 17b + 6
2
2
(c) x
+ 7x + 10
(j) 18y
+ 12y + 2
2
2
(d) b
+ 9b + 14
(k) 12x
+ 6x
6
2
2
(e) x
+ 14x + 49
(l) 7a
9a
10
2
2
(f) x
+ x
6
(m)
x
x + 2
3
2
2
(g) 2x
+ 10x
48x
(n)
2x
+ 3x + 2
2
3. (a) Factorize x
+ 5x + 3 using the quadratic formula.
2
(b) Factorize 2x
1.
x
2
A
4
(c) Simplify
.
3A 6
2
2x
8
(d) Simplify
.
2
2x
x 6
2
2
2x
y
x
x 6
(e) Simplify
.
×
2xy
2
9
x
2
2
2x
+5x 3
4x
1
(f) Simplify
÷
.
3
+3x
2
+2x
3
+2x
2
x
x
3x
x+3
(g) Simplify
+
.
2
2
x
+6x+9
x
9
2
(h) Solve x
+ 2x
3 = 0.
Page 15
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