Simplify (2x^2)/(3x+1)-(6x^2)/(3x+1)+(7x^2)/(3x+1)

$\frac{2 x^{2}}{3 x + 1} - \frac{6 x^{2}}{3 x + 1} + \frac{7 x^{2}}{3 x + 1}$

Combine the numerators over the common denominator.

$\frac{2 x^{2} - 6 x^{2} + 7 x^{2}}{3 x + 1}$

Subtract $6 x^{2}$ from $2 x^{2}$ .

$\frac{- 4 x^{2} + 7 x^{2}}{3 x + 1}$

Add $- 4 x^{2}$ and $7 x^{2}$ .

$\frac{3 x^{2}}{3 x + 1}$