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Question
Factorise the following expression.
(l + m)2 − 4lm (Hint: Expand (l + m)2 first)
Sum
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Solution
(l + m)2 − 4lm
= l2 + 2 × l × m + m2 − 4lm ...[∵ (a + b)2 = a2 + 2ab + b2]
= l2 − 2lm + m2 − 4lm
= l2 − 2lm + m2
= (l − m)2
= (l − m) (l − m)
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