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General Term of Binomial Expansion

Write down an...

Question

Write down and simplify:
The 25th term of ${(5 x + 8 y)}^{30}$

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Solution

We know that the the $r^{t h}$ term in expansion of $(a + x)^{n}$ is given by $^{n} C_{r - 1} a^{n + 1 - r} x^{r - 1}$
$∴$ the $25^{t h}$ term in the expansion of $(5 x + 8 y)^{30}$ is $^{30} C_{24} (5 x)^{6} (8 y)^{24}$

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General Term of Binomial Expansion

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