Divide 3x^2y^3-(5a^2x^4)÷(-3)x^2

$3 x^{2} y^{3} - 5 a^{2} x^{4} \div (- 3) x^{2}$

Rewrite the division as a fraction.

$3 x^{2} y^{3} - \frac{5 a^{2} x^{4}}{(- 3) x^{2}}$

Cancel the common factor of $x^{4}$ and $x^{2}$ .

Factor $x^{2}$ out of $5 a^{2} x^{4}$ .

$3 x^{2} y^{3} - \frac{x^{2} (5 a^{2} x^{2})}{(- 3) x^{2}}$

Cancel the common factors.

Factor $x^{2}$ out of $(- 3) x^{2}$ .

$3 x^{2} y^{3} - \frac{x^{2} (5 a^{2} x^{2})}{x^{2} \cdot - 3}$

Cancel the common factor.

$3 x^{2} y^{3} - \frac{x^{2} (5 a^{2} x^{2})}{x^{2} \cdot - 3}$

Rewrite the expression.

$3 x^{2} y^{3} - \frac{5 a^{2} x^{2}}{- 3}$

Move the negative in front of the fraction.

$3 x^{2} y^{3} - - \frac{5 a^{2} x^{2}}{3}$

Multiply $- - \frac{5 a^{2} x^{2}}{3}$ .

Multiply $- 1$ by $- 1$ .

$3 x^{2} y^{3} + 1 \frac{5 a^{2} x^{2}}{3}$

Multiply $\frac{5 a^{2} x^{2}}{3}$ by $1$ .

$3 x^{2} y^{3} + \frac{5 a^{2} x^{2}}{3}$