Algebra Examples

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

Step 1

Factor $x^{2}$ out of $3 x^{2} y^{3} - 5 a^{2} x^{4}$ .

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Step 1.1

Factor $x^{2}$ out of $3 x^{2} y^{3}$ .

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

Step 1.2

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

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

Step 1.3

Factor $x^{2}$ out of $x^{2} (3 y^{3}) + x^{2} (- 5 a^{2} x^{2})$ .

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

Step 2

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

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

Move the negative in front of the fraction.

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

Step 4

Split the fraction $\frac{3 y^{3} - 5 a^{2} x^{2}}{3}$ into two fractions.

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

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Cancel the common factor.

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

Step 5.2

Divide $y^{3}$ by $1$ .

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

Step 6

Move the negative in front of the fraction.

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