Finite Math Examples

$\frac{5 a - 10 x}{3 a} - \frac{8 a - 6 x}{3 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 a - 10 x - (8 a - 6 x)}{3 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{5 a - 10 x - (8 a) - (- 6 x)}{3 a}$

Step 2.2

Multiply $8$ by $- 1$ .

$\frac{5 a - 10 x - 8 a - (- 6 x)}{3 a}$

Step 2.3

Multiply $- 6$ by $- 1$ .

$\frac{5 a - 10 x - 8 a + 6 x}{3 a}$

$\frac{5 a - 10 x - 8 a + 6 x}{3 a}$

Step 3

Simplify terms.

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Step 3.1

Subtract $8 a$ from $5 a$ .

$\frac{- 3 a - 10 x + 6 x}{3 a}$

Step 3.2

Add $- 10 x$ and $6 x$ .

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

Step 3.3

Factor $- 1$ out of $- 3 a$ .

$\frac{- (3 a) - 4 x}{3 a}$

Step 3.4

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

$\frac{- (3 a) - (4 x)}{3 a}$

Step 3.5

Factor $- 1$ out of $- (3 a) - (4 x)$ .

$\frac{- (3 a + 4 x)}{3 a}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (3 a + 4 x)$ as $- 1 (3 a + 4 x)$ .

$\frac{- 1 (3 a + 4 x)}{3 a}$

Step 3.6.2

Move the negative in front of the fraction.

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

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

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

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