Algebra Examples

$15 x^{3} y^{4} \div 5 x^{2} y^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{15 x^{3} y^{4}}{5 x^{2} y^{2}}$

Step 2

Cancel the common factor of $15$ and $5$ .

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Step 2.1

Factor $5$ out of $15 x^{3} y^{4}$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $5 x^{2} y^{2}$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{3 x^{3} y^{4}}{x^{2} y^{2}}$

$\frac{3 x^{3} y^{4}}{x^{2} y^{2}}$

$\frac{3 x^{3} y^{4}}{x^{2} y^{2}}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{3 x y^{4}}{y^{2}}$

$\frac{3 x y^{4}}{y^{2}}$

$\frac{3 x y^{4}}{y^{2}}$

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{y^{2} (3 x y^{2})}{y^{2} \cdot 1}$

Step 4.2.2

Cancel the common factor.

$\frac{y^{2} (3 x y^{2})}{y^{2} \cdot 1}$

Step 4.2.3

Rewrite the expression.

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

Step 4.2.4

Divide $3 x y^{2}$ by $1$ .

$3 x y^{2}$

$3 x y^{2}$

$3 x y^{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$