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Index of (r+1)th Term from End When Counted from Beginning

If sum of all...

Question

If sum of all the coefficients of $(5 x - 2 y)^{10}$ is $a^{b};$ where $a$ and $b$ are coprime, then the value of $a \times b$ is

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Solution

For sum of all coefficients :
put $x = y = 1$ in $(5 x - 2 y)^{10}$
$\Rightarrow$ sum $= (5 - 2)^{10} = 3^{10} = a^{b}$
$\Rightarrow a \times b = 30$

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Index of (r+1)th Term from End When Counted from Beginning

Standard XII Mathematics

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