Question

Simplify:
($24x{y}^2+16x^3{y}^2$) $÷$ ($4xy$)

• A. $10xy$
• B. $8y+4xy$
• C. $6x{y}^2+4x^3{y}^2$
• D. $6y+4x^{2}y$

Answer 1

The correct option is D $6y+4x^{2}y$

The expression $\frac{24x{y}^2+16x^3{y}^2}{4xy}$ can be factorised as,

$\frac{24\times x\times y\times y}{4\times x\times y}+\frac{16\times x\times x\times x\times y\times y}{4\times x\times y}=6y+4x^{2}y$