Factorise :

$(l + m)^{2} - (l - m)^{2}$

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Solution

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

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(l + m)^{2} - (l - m)^{2}

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

m^{2} + m + 1 = 0

(l + m)^{2} - 4 l m

(2 l + m)^{2} - 8 l m

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