Chapter 4, Problem 3CR

To determine

To find: the simplified expression of the given expression

Answer to Problem 3CR

Option (b) is true

Explanation of Solution

Given:

We have given the expression $\left(x{y}^2+4x^{2}y-6\right)+\left(5x{y}^2-5x^{2}y-7\right)$

Formula used:

(1) Arrange same power variables on the same side and constant on the same side.

Calculation:

So the given expression is = $\left(x{y}^2+4x^{2}y-6\right)+\left(5x{y}^2-5x^{2}y-7\right)$

Here same terms are

  $\begin{array}{l}\left(i\right) x{y}^2,5x{y}^2\hfill \\ \left(ii\right)4x^2{y}^{},-5x^{2}y\hfill \\ \left(iii\right) -6,-7\hfill \end{array}$

Now arrange the following same terms

We get

  $\begin{array}{l} =\left(x{y}^2+5x{y}^2\right)+\left(4x^{2}y-5x^{2}y\right)+\left(-6-7\right) \hfill \\ =6x{y}^2–x^{2}y-13\hfill \end{array}$

Conclusion:

Hence the answer of the given expression is

  $=6x{y}^2–x^{2}y-13$