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Factorise the following expressions(i) (l + m)2 − 4lm (Hint: Expand (l + m)2 first)(ii) a4 + 2a2b2 + b4 |
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Answer» (i) (l + m)2 − 4lm = l2 + 2lm + m2 − 4lm = l2 − 2lm + m2 = (l − m)2 [(a − b)2 = a2 − 2ab + b2] (ii) a4 + 2a2b2 + b4 = (a2)2 + 2 (a2) (b2) + (b2)2 = (a2 + b2)2 [(a + b)2 = a2 + 2ab + b2] |
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