Show that : ( x^ a+b x^c )^ a-b ( x^ b+c x^a )^ b-c ( x^ c+a x^b … - Vidyadip

Question

Show that :
$\left(\frac{x^{a+b}}{x^c}\right)^{a-b} \times\left(\frac{x^{b+c}}{x^a}\right)^{b-c} \times\left(\frac{x^{c+a}}{x^b}\right)^{c-a}=1$.

✓

Answer

[Hint: In each of these, use : $\left.a^2-b^2=(a-b)(a+b)\right]$

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