Algebra Examples

$\frac{9 x^{2}}{36 x^{3} + 27 x^{2}}$

Step 1

Factor $9 x^{2}$ out of $36 x^{3} + 27 x^{2}$ .

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Step 1.1

Factor $9 x^{2}$ out of $36 x^{3}$ .

$\frac{9 x^{2}}{9 x^{2} (4 x) + 27 x^{2}}$

Step 1.2

Factor $9 x^{2}$ out of $27 x^{2}$ .

$\frac{9 x^{2}}{9 x^{2} (4 x) + 9 x^{2} (3)}$

Step 1.3

Factor $9 x^{2}$ out of $9 x^{2} (4 x) + 9 x^{2} (3)$ .

$\frac{9 x^{2}}{9 x^{2} (4 x + 3)}$

$\frac{9 x^{2}}{9 x^{2} (4 x + 3)}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Cancel the common factor.

$\frac{9 x^{2}}{9 x^{2} (4 x + 3)}$

Step 2.2

Rewrite the expression.

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

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{1}{4 x + 3}$

$\frac{1}{4 x + 3}$

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