Basic Math Examples

$(8 a^{2} + 40 a + 34) \div (8 a + 8)$

Step 1

Rewrite the division as a fraction.

$\frac{8 a^{2} + 40 a + 34}{8 a + 8}$

Step 2

Cancel the common factor of $8 a^{2} + 40 a + 34$ and $8 a + 8$ .

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Step 2.1

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

$\frac{2 (4 a^{2}) + 40 a + 34}{8 a + 8}$

Step 2.2

Factor $2$ out of $40 a$ .

$\frac{2 (4 a^{2}) + 2 (20 a) + 34}{8 a + 8}$

Step 2.3

Factor $2$ out of $2 (4 a^{2}) + 2 (20 a)$ .

$\frac{2 (4 a^{2} + 20 a) + 34}{8 a + 8}$

Step 2.4

Factor $2$ out of $34$ .

$\frac{2 (4 a^{2} + 20 a) + 2 (17)}{8 a + 8}$

Step 2.5

Factor $2$ out of $2 (4 a^{2} + 20 a) + 2 (17)$ .

$\frac{2 (4 a^{2} + 20 a + 17)}{8 a + 8}$

Step 2.6

Cancel the common factors.

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Step 2.6.1

Factor $2$ out of $8 a$ .

$\frac{2 (4 a^{2} + 20 a + 17)}{2 (4 a) + 8}$

Step 2.6.2

Factor $2$ out of $8$ .

$\frac{2 (4 a^{2} + 20 a + 17)}{2 (4 a) + 2 (4)}$

Step 2.6.3

Factor $2$ out of $2 (4 a) + 2 (4)$ .

$\frac{2 (4 a^{2} + 20 a + 17)}{2 (4 a + 4)}$

Step 2.6.4

Cancel the common factor.

$\frac{2 (4 a^{2} + 20 a + 17)}{2 (4 a + 4)}$

Step 2.6.5

Rewrite the expression.

$\frac{4 a^{2} + 20 a + 17}{4 a + 4}$

$\frac{4 a^{2} + 20 a + 17}{4 a + 4}$

$\frac{4 a^{2} + 20 a + 17}{4 a + 4}$

Step 3

Factor $4$ out of $4 a + 4$ .

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Step 3.1

Factor $4$ out of $4 a$ .

$\frac{4 a^{2} + 20 a + 17}{4 (a) + 4}$

Step 3.2

Factor $4$ out of $4$ .

$\frac{4 a^{2} + 20 a + 17}{4 (a) + 4 (1)}$

Step 3.3

Factor $4$ out of $4 (a) + 4 (1)$ .

$\frac{4 a^{2} + 20 a + 17}{4 (a + 1)}$

$\frac{4 a^{2} + 20 a + 17}{4 (a + 1)}$

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