Show that X3 - X2 - X - 1X3 - X2 - X - 1 - X2 - X - 1 X2 - X - 1 - is not possible for any X - R

Given, x^3+x^2+x+1x^3 x^2+x 1=x^2+x+1x^2 x+1 x+1x 1=x^2+x+1x^2 x+1 #160; #160;On cross multiplying, we get #160; #160; #160; ⇒ x^3 x^ ...

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Proof by mathematical induction

Show that X...

Question

Show that $\frac{X^{3} + X^{2} + X + 1}{X^{3} - X^{2} + X - 1}$ $=$ $\frac{X^{2} + X + 1}{X^{2} - X + 1}$ , is not possible for any $X$ $ϵ$ R

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