Question

Prove that


(x^a+b)^2 (x^b+c)^2 (x^c+a)^2/(x^a x^b x^c) = 1

Answer 1

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Given

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Answer 2

Step-by-step explanation:

(x^a+b)^2 (x^b+c)^2 (x^c+a)^2/(x^a x^b x^c) = 1

=x2a+2b × 2b+2c × 2c+2a×a+b+ c⁴

= x2a+2b+2b +2c+2c+2a×4a+4b+4c

=x4a+4b+4c×4a+4b+4c

=x4a+4b+4c-4a-4b-4c

=X

Where,

X=0

Hope it will help you