Question

Simplified form of the algebraic expression $\frac{x^2}{4}-2x^2+\frac{3x^2}{4}$ is

• A. $2x^2$
• B. $-x^2$
• C. $-2x^2$

Answer 1

The correct option is B $-x^2$

$\frac{x^2}{4}-2x^2+\frac{3x^2}{4}$
Here all three terms are like terms because they have same unknown i.e. $x$ and equal corresponding exponent i.e. 2.
$\Rightarrow \frac{x^2}{4}+\frac{3x^2}{4}-2x^2=\frac{4x^2}{4}-2x^2$

$=x^2-2x^2=-x^2$