It can be shown that the general term in the binomial expansion of \( \left( 2x + \frac{5}{x^2} \right)^9 \) is given by \( \binom{9}{r} 2^{9-r} 5^r x^{9-3r} \). Hence, or otherwise, evaluate the term independent of $x$. (2 marks)
Added by Crystal G.
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Step 1
First, we know that the general term in the binomial expansion of $(a+b)^n$ is given by: $T_r = \binom{n}{r} a^{n-r} b^r$ In our case, we have $(5 + \frac{2x}{22})^{29}$, so $a = 5$, $b = \frac{2x}{22}$, and $n = 29$. Show more…
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