Calculus Examples

$\frac{(- h^{2} + 4 h + 1) - (1)}{h}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- 1$ by $1$ .

$\frac{- h^{2} + 4 h + 1 - 1}{h}$

Step 1.2

Subtract $1$ from $1$ .

$\frac{- h^{2} + 4 h + 0}{h}$

Step 1.3

Add $- h^{2} + 4 h$ and $0$ .

$\frac{- h^{2} + 4 h}{h}$

Step 1.4

Factor $h$ out of $- h^{2} + 4 h$ .

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Step 1.4.1

Factor $h$ out of $- h^{2}$ .

$\frac{h (- h) + 4 h}{h}$

Step 1.4.2

Factor $h$ out of $4 h$ .

$\frac{h (- h) + h \cdot 4}{h}$

Step 1.4.3

Factor $h$ out of $h (- h) + h \cdot 4$ .

$\frac{h (- h + 4)}{h}$

$\frac{h (- h + 4)}{h}$

$\frac{h (- h + 4)}{h}$

Step 2

Cancel the common factor of $h$ .

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Step 2.1

Cancel the common factor.

$\frac{h (- h + 4)}{h}$

Step 2.2

Divide $- h + 4$ by $1$ .

$- h + 4$

$- h + 4$

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