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Factorisation Using Algebraic Identities

Factorise: l+...

Question

Factorise:
$(l + m)^{2} - 4 l m$

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Solution

$(l + m)^{2} - 4 l m = l^{2} + m^{2} + 2 l m - 4 l m = l^{2} + m^{2} - 2 l m = l^{2} - 2 l m + m^{2} = (l - m)^{2} {∵ a^{2} + 2 a b + b^{2} = (a + b)^{2}}$

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