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Factorisation Using Algebraic Identities

Factorise the...

Question

Factorise the following: $4 a^{2} + 4 a b + b^{2}$

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Solution

GIven: $4 a^{2} + 4 a b + b^{2}$
$= (2 a)^{2} + 2 \times (2 a) \times b + b^{2}$ -------[Since $x^{2} + 2 x y + y^{2} = (x + y)^{2}$ ]
$= (2 a + b)^{2}$

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