Queston 1(vii)
Factorise the following expressions
$(l + m)^{2} - 4 l m$

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Solution

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

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

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