Algebra Examples

$\frac{7 x^{3} - 49 x^{2}}{7 x^{4}}$

Step 1

Factor $7 x^{2}$ out of $7 x^{3} - 49 x^{2}$ .

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Step 1.1

Factor $7 x^{2}$ out of $7 x^{3}$ .

$\frac{7 x^{2} (x) - 49 x^{2}}{7 x^{4}}$

Step 1.2

Factor $7 x^{2}$ out of $- 49 x^{2}$ .

$\frac{7 x^{2} (x) + 7 x^{2} (- 7)}{7 x^{4}}$

Step 1.3

Factor $7 x^{2}$ out of $7 x^{2} (x) + 7 x^{2} (- 7)$ .

$\frac{7 x^{2} (x - 7)}{7 x^{4}}$

$\frac{7 x^{2} (x - 7)}{7 x^{4}}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Cancel the common factor.

$\frac{7 x^{2} (x - 7)}{7 x^{4}}$

Step 2.2

Rewrite the expression.

$\frac{x^{2} (x - 7)}{x^{4}}$

$\frac{x^{2} (x - 7)}{x^{4}}$

Step 3

Cancel the common factors.

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Step 3.1

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

$\frac{x^{2} (x - 7)}{x^{2} x^{2}}$

Step 3.2

Cancel the common factor.

$\frac{x^{2} (x - 7)}{x^{2} x^{2}}$

Step 3.3

Rewrite the expression.

$\frac{x - 7}{x^{2}}$

$\frac{x - 7}{x^{2}}$

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