Question

If we subtract $-3x^2{y}^2$ from $x^2{y}^2$, then we get

• A. $-4x^2{y}^2$
• B. $-2x^2{y}^2$
• C. $2x^2{y}^2$
• D. $4x^2{y}^2$

Answer 1

The correct option is D

$4x^2{y}^2$

Explanation for correct option:

Polynomials of same degree and variables can be subtracted.

Now, Subtract$–3x^2{y}^2$ from $x^2{y}^2$

$$\begin{gathered} =x^2{y}^2-(-3x^2{y}^2) \\ =x^2{y}^2+3x^2{y}^2 \\ =x^2{y}^2(1+3) \\ =4x^2{y}^2 \end{gathered}$$

Hence, Option (D) is correct answer.