Question 2(iii)
Factorise the following expressions
$7 a^{2} + 14 a$

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Solution

$7 a^{2} = 7 \times a \times a 14 a = 2 \times 7 \times a T h e c o m m o n f a c t o r s a r e 7 a n d a ∴ 7 a^{2} + 14 a = (7 \times a \times a) + (2 \times 7 \times a) = 7 \times a [a + 2] = 7 a (a + 2)$

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