Subtract. $$ -\frac{a-6 x}{8 a}-\frac{2 a+10 x}{8 a} $$ Simplify your answer as much as possible. $$ \square $$

Question

UpStudy AI · Accepted Answer

To subtract the two fractions:

$$
-\frac{a - 6x}{8a} - \frac{2a + 10x}{8a}
$$

Since both fractions have the same denominator, you can combine them directly:

$$
\frac{-(a - 6x) - (2a + 10x)}{8a}
$$

Simplify the numerator:

$$
-(a - 6x) - (2a + 10x) = -a + 6x - 2a - 10x = -3a - 4x
$$

So, the expression becomes:

$$
\frac{-3a - 4x}{8a}
$$

This can be factored by factoring out a negative sign:

$$
-\frac{3a + 4x}{8a}
$$

**Final Simplified Answer:**

$$
-\frac{3a + 4x}{8a}
$$
$$ -\frac{3a + 4x}{8a} $$

Subtract.

Simplify your answer as much as possible.