Question

Find the product of $\left(p^2{q}^2\right)$ and $(2p+q)$.

• A. $2p^4{q}^2+{2p}^2{q}^2$
• B. $2p^4{q}^2+p^2{q}^2$
• C. $2p^2{q}^2+p^2{q}^2$
• D. $2p^3{q}^2+p^2{q}^3$

Answer 1

Answer: (D)

$2p^3{q}^2+p^2{q}^3$

$\begin{array}{cc}{p}^2{q}^2\left(2p+q\right)& =p^2{q}^2\times 2p+p^2{q}^2\times q\\ & =2p^3{q}^2+p^2{q}^3\end{array}$

Hence, the product of $p^2{q}^2$ and $2p+q$ is equal to $2p^3{q}^2+p^2{q}^3.$