Basic Math Examples

$\frac{9}{4 a - 7} + \frac{1}{7 - 4 a}$

Step 1

Rewrite $7$ as $- 1 (- 7)$ .

$\frac{9}{4 a - 7} + \frac{1}{- 1 (- 7) - 4 a}$

Step 2

Factor $- 1$ out of $- 4 a$ .

$\frac{9}{4 a - 7} + \frac{1}{- 1 (- 7) - (4 a)}$

Step 3

Factor $- 1$ out of $- 1 (- 7) - (4 a)$ .

$\frac{9}{4 a - 7} + \frac{1}{- 1 (- 7 + 4 a)}$

Step 4

Simplify the expression.

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Step 4.1

Move a negative from the denominator of $\frac{1}{- 1 (- 7 + 4 a)}$ to the numerator.

$\frac{9}{4 a - 7} + \frac{- 1 \cdot 1}{- 7 + 4 a}$

Step 4.2

Reorder terms.

$\frac{9}{4 a - 7} + \frac{- 1 \cdot 1}{4 a - 7}$

Step 5

Combine the numerators over the common denominator.

$\frac{9 - 1 \cdot 1}{4 a - 7}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 1$ by $1$ .

$\frac{9 - 1}{4 a - 7}$

Step 6.2

Subtract $1$ from $9$ .

$\frac{8}{4 a - 7}$