Question

Find the product of the following monomial:
$xy,x^{2}y,xy,x$

• A. $x^4{y}^3$
• B. $x^3{y}^3$
• C. $x^5{y}^3$
• D. None of these

Answer 1

The correct option is C $x^5{y}^3$

We multiply the given polynomials $xy,x^{2}y,xy$ and $x$ as shown below:

Let the required product be $p$

$p=\left(xy\right)\times \left(x^{2}y\right)\times \left(xy\right)\times \left(x\right)=\left(xy\right)\times (x\times x\times y)\times \left(xy\right)\times \left(x\right)=(x\times x\times x\times x\times x)\times (y\times y\times y)=x^5\times y^3=x^5{y}^3$

Hence, the product of $xy,x^{2}y,xy$ and $x$ is $x^5{y}^3$.