Question

Add the following:

$4x^{2}y,-3x{y}^2,-5x{y}^2,2x^{2}y$

Answer 1

Find the sum of polynomial.

Given, $4x^{2}y,-3x{y}^2,-5x{y}^2,2x^{2}y$

Rearrange in like terms and add them by using distributive law.

$$\begin{gathered} =4x^{2}y+2x^{2}y-3x{y}^2-5x{y}^2 \\ =(4+2)x^{2}y+(-3-5)x{y}^2 \\ =6x^{2}y-8x{y}^2 \end{gathered}$$

Hence, the sum of polynomial $4x^{2}y,-3x{y}^2,-5x{y}^2,2x^{2}y$ is $6x^{2}y-8x{y}^2$.