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Question

Which of the following equations are correct?

i)(a+b+c)2=a2+b2+c22(ab+bc+ca)
ii)(a+b)3=a3+b3+3ab(ab)
iii)(ab)3=a3b33ab(a+b)
iv)a2b2=(a+b)(ab)

 


  1. (iv) only
  2. (ii), (iii) and (iv)
  3. (iv) and (iii)
  4. (i) and (iv)


Solution

The correct option is A (iv) only

Use identity
(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
(a+b)3=a3+b3+3ab(a+b)
(ab)3=a3b33ab(ab)
a2b2=(a+b)(ab)

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