Basic Math Examples

$(8 a^{5} - 4 a^{2}) \div a^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{8 a^{5} - 4 a^{2}}{a^{2}}$

Step 2

Factor $4 a^{2}$ out of $8 a^{5} - 4 a^{2}$ .

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Step 2.1

Factor $4 a^{2}$ out of $8 a^{5}$ .

$\frac{4 a^{2} (2 a^{3}) - 4 a^{2}}{a^{2}}$

Step 2.2

Factor $4 a^{2}$ out of $- 4 a^{2}$ .

$\frac{4 a^{2} (2 a^{3}) + 4 a^{2} (- 1)}{a^{2}}$

Step 2.3

Factor $4 a^{2}$ out of $4 a^{2} (2 a^{3}) + 4 a^{2} (- 1)$ .

$\frac{4 a^{2} (2 a^{3} - 1)}{a^{2}}$

$\frac{4 a^{2} (2 a^{3} - 1)}{a^{2}}$

Step 3

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

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Step 3.1

Cancel the common factor.

$\frac{4 a^{2} (2 a^{3} - 1)}{a^{2}}$

Step 3.2

Divide $4 (2 a^{3} - 1)$ by $1$ .

$4 (2 a^{3} - 1)$

$4 (2 a^{3} - 1)$

Step 4

Apply the distributive property.

$4 (2 a^{3}) + 4 \cdot - 1$

Step 5

Multiply.

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Step 5.1

Multiply $2$ by $4$ .

$8 a^{3} + 4 \cdot - 1$

Step 5.2

Multiply $4$ by $- 1$ .

$8 a^{3} - 4$

$8 a^{3} - 4$

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