Question

If $5xy$ is multiplied by $4ab$, then find the coefficient of $xy$.

• A. $5ab$
• B. $5$
• C. $20$
• D. $20ab$

Answer 1

The correct option is D $20ab$

$\underset{–}{Step1:}$
First we would multiply $5xy$ by $4ab$. This product can be evaluated as:
$\left(5xy\right)\times \left(4ab\right)=(5\times 4)\times (xy\times ab)$
$=20\times xyab$
$=20xyab$

$\underset{–}{Step2:}$
The product of $5xy$ and $4ab$ is $20xyab$. This product can be written as:
$20xyab=\left(20ab\right)\times xy=\left(20ab\right)xy$

The coefficient of $xy$ in the product $20xyab$ is $20ab$. Therefore, option (d.) is the correct answer.