Question

Multiply $c^{2}a$ and $b^2+2bc$.

Answer 1

Consider the polynomials $c^{2}a$ and $b^2+2bc$ and multiply as follows:

$\left(c^{2}a\right)(b^2+2bc)=(c^{2}a\times b^2)+(c^{2}a\times 2bc)=a{b}^2{c}^2+2ab{c}^3$