Algebra Examples

$\frac{6 a^{5} b^{7}}{- 2 a^{3} b^{7}}$

Step 1

Cancel the common factor of $6$ and $- 2$ .

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Step 1.1

Factor $2$ out of $6 a^{5} b^{7}$ .

$\frac{2 (3 a^{5} b^{7})}{- 2 a^{3} b^{7}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $- 2 a^{3} b^{7}$ .

$\frac{2 (3 a^{5} b^{7})}{2 (- a^{3} b^{7})}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (3 a^{5} b^{7})}{2 (- a^{3} b^{7})}$

Step 1.2.3

Rewrite the expression.

$\frac{3 a^{5} b^{7}}{- a^{3} b^{7}}$

$\frac{3 a^{5} b^{7}}{- a^{3} b^{7}}$

$\frac{3 a^{5} b^{7}}{- a^{3} b^{7}}$

Step 2

Cancel the common factor of $a^{5}$ and $a^{3}$ .

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Step 2.1

Factor $a^{3}$ out of $3 a^{5} b^{7}$ .

$\frac{a^{3} (3 a^{2} b^{7})}{- a^{3} b^{7}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $a^{3}$ out of $- a^{3} b^{7}$ .

$\frac{a^{3} (3 a^{2} b^{7})}{a^{3} (- 1 b^{7})}$

Step 2.2.2

Cancel the common factor.

$\frac{a^{3} (3 a^{2} b^{7})}{a^{3} (- 1 b^{7})}$

Step 2.2.3

Rewrite the expression.

$\frac{3 a^{2} b^{7}}{- 1 b^{7}}$

$\frac{3 a^{2} b^{7}}{- 1 b^{7}}$

$\frac{3 a^{2} b^{7}}{- 1 b^{7}}$

Step 3

Cancel the common factor of $b^{7}$ .

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Step 3.1

Cancel the common factor.

$\frac{3 a^{2} b^{7}}{- 1 b^{7}}$

Step 3.2

Rewrite the expression.

$\frac{3 a^{2}}{- 1}$

Step 3.3

Move the negative one from the denominator of $\frac{3 a^{2}}{- 1}$ .

$- 1 \cdot (3 a^{2})$

$- 1 \cdot (3 a^{2})$

Step 4

Simplify the expression.

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Step 4.1

Rewrite $- 1 \cdot (3 a^{2})$ as $- (3 a^{2})$ .

$- (3 a^{2})$

Step 4.2

Multiply $3$ by $- 1$ .

$- 3 a^{2}$

$- 3 a^{2}$

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