Review question

# Can we find the coefficient of $x^2$ in $(5 + 4x)(1 - x/2)^{10}$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7078

## Question

Write down and simplify the first $4$ terms in the expansion by the binomial theorem of $\left(1 - \tfrac{1}{2}x\right)^{10}$.

Find the coefficient of $x^2$ in the expansion of $(5 + 4x)\left(1 - \tfrac{1}{2}x\right)^{10}.$