For $(1-2x)^6$, let $c_2$ and $c_3$ be the coefficients of $x^2$ and $x^3$. Find

Question

For $(1-2x)^6$, let $c_2$ and $c_3$ be the coefficients of $x^2$ and $x^3$. Find: $\frac{c_2}{c_3}$. $|c_2|:|c_3|$. Explain the difference.

Accepted Answer

(a) $-\frac38$; (b) $3:8$.

Binomial Theorem