Question

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

• A. $3x^2+\frac{4x}{3}$
• B. $4x^2-\frac{x}{3}$
• C. $3x^2+\frac{2x}{3}$
• D. None of the above

Answer 1

The correct option is C $3x^2+\frac{2x}{3}$

$\because \frac{x^2}{x}=x$
$\frac{x^2}{x}\&\frac{-x}{3}$ are like terms because both the terms have same unknowns and equal corresponding exponents.
$\Rightarrow \frac{-x}{3}+\frac{x^2}{x}=x-\frac{x}{3}=\frac{2x}{3}$
$\therefore 3x^2-\frac{x}{3}+\frac{x^2}{x}=3x^2+\frac{2x}{3}$