Question

On dividing $8x^2{y}^{3}by-2xy$, we get quotient ______.

• A. $-4x{y}^2$
• B. $4x{y}^2$
• C. $4x^2{y}^3$
• D. $4xy$

Answer 1

The correct option is A $-4x{y}^2$

Let the quotient on dividing $8x^2{y}^3$ by $-2xy$ be $q$.

$\Rightarrow q=\frac{8x^2{y}^3}{-2xy}$

$\Rightarrow q=\frac{(-2\times -4)(x\times x)(y\times y^2)}{-2xy}$

$\Rightarrow q=\frac{(-2xy)\times (-4x{y}^2)}{-2xy}$

$\Rightarrow q=-4x{y}^2$

$\therefore$ Quotient on dividing $8x^2{y}^3$ by $-2xy$ is $-4x{y}^2$.