1.

Factorise the following expressions(i) (l + m)2 − 4lm (Hint: Expand (l + m)2 first)(ii) a4 + 2a2b2 + b4

Answer»

(i) (l + m)2 − 4lm 

= l2 + 2lm + m2 − 4lm

= l2 − 2lm + m2

= (l − m)    [(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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