Question

In the following exercises, add or subtract the monomials.

$2a^2+b^2-6a^2+x^{2}y-3x+7x{y}^2$

Short answer

The required result is$2a^2+b^2-6a^2+x^{2}y-3x+7x{y}^2=-4a^2+b^2+x^{2}y-3x+7x{y}^2$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionis}\\ 2a^2+b^2-6a^2+x^{2}y-3x+7x{y}^2\\ \text{Wehavetoaddorsubtractasapplicable.}\end{array}$

Step 2. Simplify

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow 2a^2+b^2-6a^2+x^{2}y-3x+7x{y}^2\\ =2a^2-6a^2+b^2+x^{2}y-3x+7x{y}^2\left[\text{Combinetheliketerms}\right]\\ =\left(2-6\right)a^2+b^2+x^{2}y-3x+7x{y}^2\left[\text{Simplify}\right]\\ =-4a^2+b^2+x^{2}y-3x+7x{y}^2\end{array}$