Calculus Examples

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

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

Step 1

Simplify the numerator.

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Step 1.1

Multiply

- 1

$- 1$ by

1

$1$ .

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

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

Step 1.2

Subtract

1

$1$ from

1

$1$ .

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

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

Step 1.3

Add

- h^{2} + 4 h

$- h^{2} + 4 h$ and

0

$0$ .

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

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

Step 1.4

Factor

h

$h$ out of

- h^{2} + 4 h

$- h^{2} + 4 h$ .

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Step 1.4.1

Factor

h

$h$ out of

- h^{2}

$- h^{2}$ .

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

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

Step 1.4.2

Factor

h

$h$ out of

4 h

$4 h$ .

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

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

Step 1.4.3

Factor

h

$h$ out of

h (- h) + h \cdot 4

$h (- h) + h \cdot 4$ .

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

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

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

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

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

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

Step 2

Cancel the common factor of

h

$h$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Divide

$- h + 4$ by

$1$ .

$- h + 4$

$- h + 4$

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