Basic Math Examples

$\frac{8}{5 a - 2} + \frac{3}{2 - 5 a}$

Step 1

Rewrite $2$ as $- 1 (- 2)$ .

$\frac{8}{5 a - 2} + \frac{3}{- 1 (- 2) - 5 a}$

Step 2

Factor $- 1$ out of $- 5 a$ .

$\frac{8}{5 a - 2} + \frac{3}{- 1 (- 2) - (5 a)}$

Step 3

Factor $- 1$ out of $- 1 (- 2) - (5 a)$ .

$\frac{8}{5 a - 2} + \frac{3}{- 1 (- 2 + 5 a)}$

Step 4

Simplify the expression.

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Step 4.1

Move a negative from the denominator of $\frac{3}{- 1 (- 2 + 5 a)}$ to the numerator.

$\frac{8}{5 a - 2} + \frac{- 1 \cdot 3}{- 2 + 5 a}$

Step 4.2

Reorder terms.

$\frac{8}{5 a - 2} + \frac{- 1 \cdot 3}{5 a - 2}$

Step 5

Combine the numerators over the common denominator.

$\frac{8 - 1 \cdot 3}{5 a - 2}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 1$ by $3$ .

$\frac{8 - 3}{5 a - 2}$

Step 6.2

Subtract $3$ from $8$ .

$\frac{5}{5 a - 2}$