Prove that the coefficient of xr in the expansion of (1−2x)−21 is (2r)(r!)22r!

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Prove that the coefficient of {x}^{{r}} in the expansion of {(

Question

Prove that the coefficient of $x^{r}$ in the expansion of $(1 - 2 x)^{- \frac{1}{2}}$ is $\frac{2 r !}{( 2 ^{r} ) ( r ! ) ^{2}}$

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Scarlett Discussed

Prove that the coefficient of

x^{r}

in the expansion of

(1 - 2 x)^{- \frac{1}{2}}

\frac{2 r !}{( 2 ^{r} ) ( r ! ) ^{2}}

9 mins ago

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Question Text

Prove that the coefficient of

x^{r}

in the expansion of

(1 - 2 x)^{- \frac{1}{2}}

\frac{2 r !}{( 2 ^{r} ) ( r ! ) ^{2}}