alleryThe general term in the expansion of $(x + 2)^{10}$ is:
A$\binom{10}{r}x^r\cdot 2^{10-r}$, with the powers swapped here
B$\binom{10}{r}x^{10-r}\cdot 2^r$, the standard general-term formula
C$10\cdot x^r\cdot 2^{10-r}$, missing the binomial coefficient
D$\binom{10}{r}\cdot 2^{r}$, omitting the $x^{10-r}$ factor
Answer & Solution
Correct answer: B. $\binom{10}{r}x^{10-r}\cdot 2^r$, the standard general-term formula
$T_{r+1} = \binom{n}{r} a^{n-r} b^r$ with $a = x, b = 2, n = 10$.
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