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Question

Question 3

Which of the following is correct?
a) (ab)2=a2+2abb2
b) (ab)2=a22ab+b2
c) (ab)2=a2b2
d) (a+b)2=a2+2abb2

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Solution

b) (ab)2=a22ab+b2
We have,
(ab)2=(ab)(ab)=a(ab)b(ab)=a.aa.bb.a+b.b=a2abab+b2=a22ab+b2 [ a.b=b.a]

and (a+b)2=(a+b)(a+b)=a.a+a.b+b.a+b.b=a2+2ab+b2

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