Trigonometry Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Subtract $x^{2}$ from $x^{2}$ .

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

Step 1.2

Add $- 9 x$ and $0$ .

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

Step 1.3

Subtract $9 x$ from $- 9 x$ .

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

Step 1.4

Add $3$ and $3$ .

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

Step 2

Simplify with factoring out.

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Step 2.1

Factor $- 1$ out of $- 18 x$ .

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

Step 2.2

Factor $- 1$ out of $h$ .

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

Step 2.3

Factor $- 1$ out of $- (18 x) - 1 (- h)$ .

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

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.

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