Question

Divide the given polynomial by the given monomial.

$(p^3{q}^6+p^6{q}^3)÷(p^3+q^3)$

• A. $\left(p^3{q}^3\right)$
• B. $\left(p^6{q}^3\right)$
• C. $\left(p^3{q}^6\right)$
• D. $\left(p^6{q}^6\right)$

Answer 1

The correct option is A $\left(p^3{q}^3\right)$

$(p^3{q}^6+p^6{q}^3)÷\left(p^3{q}^3\right)$
$=\frac{(p^3{q}^6+p^6{q}^3)}{p^3{q}^3}$
$=\frac{p^3{q}^3(q^3+p^3)}{p^3{q}^3}$
$=\left(p^3{q}^3\right)$