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Question
Factorise: (a+ 2b)2 - a2
Sum
Solution
(a+ 2b)2 - a2
= (a+ 2b)2 - (a)2
= (a + 2b + a) (a + 2b - a)
= (2a + 2b) (2b)
= 2 (a + b) (2b)
= 2 × 2b (a + b)
= 4b (a + b)
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Factorisation by Difference of Two Squares
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