(vii) (l + m)
- 41m
m)
(Hint: Expand (l+m) first)
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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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