Question

oose the correct answer:
G.C.D of (a-4)⁴,(b+c)³,(c-a)power 7
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Answer 1

Answer:

First expression = a2b + a2c

                      = a2(b + c)

                      = a × a × (b + c)

Second expression = (ab + ac)2

                          = (ab + ac) (ab + ac)

                          = a(b + c) a(b + c)

                          = a × a × (b + c) × (b + c)    

It can be seen that, in both the expressions ‘a’, ‘a’ and ‘(b + c)’ are the common factors and there is no other common factor.

Therefore, the required H.C.F. is a × a × (b + c) = a2(b + c).

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