Question

Divide $(12xy+2x^2{y}^2)$ by $2xy$.

• A. $6$
• B. $xy$
• C. $6x+y$
• D. $6+xy$

Answer 1

The correct option is D $6+xy$

$(12xy+2x^2{y}^2)÷2xy$
$=\frac{12\times x\times y+2\times x\times x\times y\times y}{2\times x\times y}$
$=\frac{12\times x\times y}{2\times x\times y}$+ $\frac{2\times x\times x\times y\times y}{2\times x\times y}$
$=6+(x\times y)$
$=6+xy$