Q19 of 137 Page 101

Factorize:

(l + m)2 – 4lm

Given,


(l + m)2 – 4lm


By using the formula (a + b)2 = a2 + b2 + 2ab


We get,


(l + m)2 – 4lm = (l2 + m2 + 2lm) – 4lm


= l2 + m2 + 2lm – 4lm


= l2 + m2 – 2lm


= (l)2 + (m)2 - 2×l×m


= (l – m)2


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