Question

Evaluate : $\frac{-5}{3}{x}^2-\frac{3}{4}{x}^2-\frac{4}{3}{x}^2-\frac{1}{4}{x}^2+x^2$

• A. $-5x^2$
• B. $4x^2$
• C. $-6x^2$
• D. $-3x^2$

Answer 1

The correct option is D $-3x^2$

$=x^2(1-\frac{5}{3}-\frac{3}{4}-\frac{4}{3}-\frac{1}{4})$

$=x^2[1-(\frac{5}{3}+\frac{4}{3}+\frac{3}{4}+\frac{1}{4})]$

$=x^2[1-(\frac{9}{3}+\frac{4}{4})]$

$=x^2(1-4)$

$=-3x^2$ $\left[D\right]$