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Factorise the following expression: 7a2 + 14a

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Question

Factorise the following expression:

7a2 + 14a

Sum
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Solution

7a2 = 7 × a × a

14a = 2 × 7 × a

The common factors are 7 and a.

∴ 7a2 + 14a = (7 × a × a) + (2 × 7 × a)

= 7 × a (a + 2)

= 7a (a + 2)

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