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Precalculus Examples

\frac{12 x^{2}}{4 x^{2}}

$\frac{12 x^{2}}{4 x^{2}}$

Step 1

Cancel the common factor of

12

$12$ and

4

$4$ .

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Step 1.1

Factor

4

$4$ out of

12 x^{2}

$12 x^{2}$ .

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

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

4

$4$ out of

4 x^{2}

$4 x^{2}$ .

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

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

Step 1.2.2

Cancel the common factor.

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

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

Step 1.2.3

Rewrite the expression.

\frac{3 x^{2}}{x^{2}}

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

\frac{3 x^{2}}{x^{2}}

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

\frac{3 x^{2}}{x^{2}}

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

Step 2

Cancel the common factor of

x^{2}

$x^{2}$ .

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Step 2.1

Cancel the common factor.

\frac{3 x^{2}}{x^{2}}

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

Step 2.2

Divide

3

$3$ by

1

$1$ .

3

$3$

3

$3$

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

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