Algebra Examples

$\frac{a + 4}{25 a - 5} + \frac{5 a}{25 a - 5}$

Step 1

Combine the numerators over the common denominator.

$\frac{a + 4 + 5 a}{25 a - 5}$

Step 2

Add $a$ and $5 a$ .

$\frac{6 a + 4}{25 a - 5}$

Step 3

Factor $2$ out of $6 a + 4$ .

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Step 3.1

Factor $2$ out of $6 a$ .

$\frac{2 (3 a) + 4}{25 a - 5}$

Step 3.2

Factor $2$ out of $4$ .

$\frac{2 (3 a) + 2 (2)}{25 a - 5}$

Step 3.3

Factor $2$ out of $2 (3 a) + 2 (2)$ .

$\frac{2 (3 a + 2)}{25 a - 5}$

$\frac{2 (3 a + 2)}{25 a - 5}$

Step 4

Factor $5$ out of $25 a - 5$ .

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Step 4.1

Factor $5$ out of $25 a$ .

$\frac{2 (3 a + 2)}{5 (5 a) - 5}$

Step 4.2

Factor $5$ out of $- 5$ .

$\frac{2 (3 a + 2)}{5 (5 a) + 5 (- 1)}$

Step 4.3

Factor $5$ out of $5 (5 a) + 5 (- 1)$ .

$\frac{2 (3 a + 2)}{5 (5 a - 1)}$

$\frac{2 (3 a + 2)}{5 (5 a - 1)}$

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