Evaluate (using formulae): $(a + 2 b)^{2} - a^{2}$

4 b (a - b)

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b (a + b)

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4 b (a + b)

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4 (a + b)

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Solution

The correct option is C $4 b (a + b)$
$F a c t o r i z i n g {(a + 2 b)}^{2} - (a)^{2}, = (a + 2 b + a) (a + 2 b - a) = 4 b (a + b)$
using the identity $(a^{2} - b^{2}) = (a + b) (a - b)$

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