Find the coefficient of $x^2$ in $$(1+2x)(1-x)^5.$$A student considers only $1$ multiplied by th

Question

Find the coefficient of $x^2$ in $$(1+2x)(1-x)^5.$$A student considers only $1$ multiplied by the $x^2$ term of $(1-x)^5$. Explain what is missing.

Accepted Answer

$0$; Contributions are $10$ and $-10$.

Binomial Theorem