Question

Simplify the following expression:
$(2x^2+7)+(-3x^2-5)$

• A. $-x^2-2$
• B. $-x^2+2$
• C. $-x^2+2$
• D. $x^2-2$

Answer 1

The correct option is B $-x^2+2$

We are given with an expression:
$(2x^2+7)+(-3x^2-5)$

In this given expression, $2x^2$ and $-3x^2$, and $7$ and $-5$ are like terms.

Combining the like terms together:
$(2x^2+7)+(-3x^2-5)$
$=(2x^2-3x^2)+(7-5)$

Simplifying the brackets:
$=\underset{–}{(2x^2-3x^2)}+\underset{–}{(7-5)}$

$=-x^2+2$

The simplified form of the expression $(2x^2+7)+(-3x^2-5)$ is $-x^2+2$.

Therefore, option (b.) is the correct answer.