Finite Math Examples

$\frac{(- 5 (x + h) + 3) - (- 5 x + 3)}{h}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the distributive property.

$\frac{- 5 x - 5 h + 3 - (- 5 x + 3)}{h}$

Step 1.2

Apply the distributive property.

$\frac{- 5 x - 5 h + 3 - (- 5 x) - 1 \cdot 3}{h}$

Step 1.3

Multiply $- 5$ by $- 1$ .

$\frac{- 5 x - 5 h + 3 + 5 x - 1 \cdot 3}{h}$

Step 1.4

Multiply $- 1$ by $3$ .

$\frac{- 5 x - 5 h + 3 + 5 x - 3}{h}$

Step 1.5

Add $- 5 x$ and $5 x$ .

$\frac{- 5 h + 3 + 0 - 3}{h}$

Step 1.6

Add $- 5 h$ and $0$ .

$\frac{- 5 h + 3 - 3}{h}$

Step 1.7

Subtract $3$ from $3$ .

$\frac{- 5 h + 0}{h}$

Step 1.8

Add $- 5 h$ and $0$ .

$\frac{- 5 h}{h}$

$\frac{- 5 h}{h}$

Step 2

Cancel the common factor of $h$ .

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Step 2.1

Cancel the common factor.

$\frac{- 5 h}{h}$

Step 2.2

Divide $- 5$ by $1$ .

$- 5$

$- 5$

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