Trigonometry Examples

\frac{(x^{2} - 9 x + 3) + h - x^{2} - 9 x + 3}{h}

$\frac{(x^{2} - 9 x + 3) + h - x^{2} - 9 x + 3}{h}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract

x^{2}

$x^{2}$ from

x^{2}

$x^{2}$ .

\frac{- 9 x + 3 + h + 0 - 9 x + 3}{h}

$\frac{- 9 x + 3 + h + 0 - 9 x + 3}{h}$

Step 1.2

Add

- 9 x

$- 9 x$ and

0

$0$ .

\frac{- 9 x + 3 + h - 9 x + 3}{h}

$\frac{- 9 x + 3 + h - 9 x + 3}{h}$

Step 1.3

Subtract

9 x

$9 x$ from

- 9 x

$- 9 x$ .

\frac{- 18 x + 3 + h + 3}{h}

$\frac{- 18 x + 3 + h + 3}{h}$

Step 1.4

Add

3

$3$ and

3

$3$ .

\frac{- 18 x + h + 6}{h}

$\frac{- 18 x + h + 6}{h}$

\frac{- 18 x + h + 6}{h}

$\frac{- 18 x + h + 6}{h}$

Step 2

Simplify with factoring out.

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Step 2.1

Factor

- 1

$- 1$ out of

- 18 x

$- 18 x$ .

\frac{- (18 x) + h + 6}{h}

$\frac{- (18 x) + h + 6}{h}$

Step 2.2

Factor

- 1

$- 1$ out of

h

$h$ .

\frac{- (18 x) - 1 (- h) + 6}{h}

$\frac{- (18 x) - 1 (- h) + 6}{h}$

Step 2.3

Factor

- 1

$- 1$ out of

- (18 x) - 1 (- h)

$- (18 x) - 1 (- h)$ .

$\frac{- (18 x - h) + 6}{h}$

Step 2.4

Rewrite

$6$ as

$- 1 (- 6)$ .

$\frac{- (18 x - h) - 1 (- 6)}{h}$

Step 2.5

Factor

$- 1$ out of

$- (18 x - h) - 1 (- 6)$ .

$\frac{- (18 x - h - 6)}{h}$

Step 2.6

Simplify the expression.

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Step 2.6.1

Rewrite

$- (18 x - h - 6)$ as

$- 1 (18 x - h - 6)$ .

$\frac{- 1 (18 x - h - 6)}{h}$

Step 2.6.2

Move the negative in front of the fraction.

$- \frac{18 x - h - 6}{h}$

$- \frac{18 x - h - 6}{h}$

$- \frac{18 x - h - 6}{h}$

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