Algebra Examples

$(10 x^{2} + 15 x + 20) \div (5 x + 5)$

Step 1

Rewrite the division as a fraction.

$\frac{10 x^{2} + 15 x + 20}{5 x + 5}$

Step 2

Cancel the common factor of $10 x^{2} + 15 x + 20$ and $5 x + 5$ .

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Step 2.1

Factor $5$ out of $10 x^{2}$ .

$\frac{5 (2 x^{2}) + 15 x + 20}{5 x + 5}$

Step 2.2

Factor $5$ out of $15 x$ .

$\frac{5 (2 x^{2}) + 5 (3 x) + 20}{5 x + 5}$

Step 2.3

Factor $5$ out of $5 (2 x^{2}) + 5 (3 x)$ .

$\frac{5 (2 x^{2} + 3 x) + 20}{5 x + 5}$

Step 2.4

Factor $5$ out of $20$ .

$\frac{5 (2 x^{2} + 3 x) + 5 \cdot 4}{5 x + 5}$

Step 2.5

Factor $5$ out of $5 (2 x^{2} + 3 x) + 5 (4)$ .

$\frac{5 (2 x^{2} + 3 x + 4)}{5 x + 5}$

Step 2.6

Cancel the common factors.

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Step 2.6.1

Factor $5$ out of $5 x$ .

$\frac{5 (2 x^{2} + 3 x + 4)}{5 (x) + 5}$

Step 2.6.2

Factor $5$ out of $5$ .

$\frac{5 (2 x^{2} + 3 x + 4)}{5 (x) + 5 (1)}$

Step 2.6.3

Factor $5$ out of $5 (x) + 5 (1)$ .

$\frac{5 (2 x^{2} + 3 x + 4)}{5 (x + 1)}$

Step 2.6.4

Cancel the common factor.

$\frac{5 (2 x^{2} + 3 x + 4)}{5 (x + 1)}$

Step 2.6.5

Rewrite the expression.

$\frac{2 x^{2} + 3 x + 4}{x + 1}$

$\frac{2 x^{2} + 3 x + 4}{x + 1}$

$\frac{2 x^{2} + 3 x + 4}{x + 1}$

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