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Question
Factorise.
(l + m)2 − (l − m)2
Sum
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Solution
(l + m)2 − (l − m)2
Using the identity a2 − b2 = (a − b) (a + b)
= [(l + m) + (l − m)] [(l + m) − ( l − m)]
= (l + m + l − m) (l + m − l + m)
= (2 m) (2 l)
= 4 lm
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