Prove that 1x - xp - q - 11 - xq- - p - 1

To prove: 11+x^p q+11+x^q p=1 L.H.S: 11+x^px^q+11+x^qx^p ⇒x^qx^q+x^p+x^px^p+x^q ⇒x^q+x^px^p+x^q=1⇒ L.H.S=R.H.SHence Proved ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Polynomial Functions

Prove that ...

Question

Prove that $\frac{1}{x + x^{p - q}} + \frac{1}{1 + x^{q / - p}} = 1$

Open in App

Solution

Suggest Corrections

Similar questions

[\frac{x^{q}}{x^{r}}]^{\frac{1}{q r}} \times [\frac{x^{r}}{x^{p}}]^{\frac{1}{r p}} \times [\frac{x^{p}}{x^{q}}]^{\frac{1}{p q}} = 1

lim x \to 1 (\frac{p}{1 - x^{p}} - \frac{q}{1 - x^{q}}); p, q \in N

_{x \to \infty}^{lim} \frac{x^{p} + x^{p - 1} + 1}{x^{q} + x^{q - 2} + 2}

p > 0, q > 0

\frac{x^{p}}{x^{p} + x^{q}} + \frac{1}{x^{p - q} + 1} .

Join BYJU'S Learning Program