Precalculus Examples

$\frac{- x^{2} - 2 x h - h^{2} - 4 x - 4 h + 7 - 6 x + 2}{h}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $6 x$ from $- 4 x$ .

$\frac{- x^{2} - 2 x h - h^{2} - 10 x - 4 h + 7 + 2}{h}$

Step 1.2

Add $7$ and $2$ .

$\frac{- x^{2} - 2 x h - h^{2} - 10 x - 4 h + 9}{h}$

Step 2

Simplify with factoring out.

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Step 2.1

Factor $- 1$ out of $- x^{2}$ .

$\frac{- (x^{2}) - 2 x h - h^{2} - 10 x - 4 h + 9}{h}$

Step 2.2

Factor $- 1$ out of $- 2 x h$ .

$\frac{- (x^{2}) - (2 x h) - h^{2} - 10 x - 4 h + 9}{h}$

Step 2.3

Factor $- 1$ out of $- (x^{2}) - (2 x h)$ .

$\frac{- (x^{2} + 2 x h) - h^{2} - 10 x - 4 h + 9}{h}$

Step 2.4

Factor $- 1$ out of $- h^{2}$ .

$\frac{- (x^{2} + 2 x h) - (h^{2}) - 10 x - 4 h + 9}{h}$

Step 2.5

Factor $- 1$ out of $- (x^{2} + 2 x h) - (h^{2})$ .

$\frac{- (x^{2} + 2 x h + h^{2}) - 10 x - 4 h + 9}{h}$

Step 2.6

Factor $- 1$ out of $- 10 x$ .

$\frac{- (x^{2} + 2 x h + h^{2}) - (10 x) - 4 h + 9}{h}$

Step 2.7

Factor $- 1$ out of $- (x^{2} + 2 x h + h^{2}) - (10 x)$ .

$\frac{- (x^{2} + 2 x h + h^{2} + 10 x) - 4 h + 9}{h}$

Step 2.8

Factor $- 1$ out of $- 4 h$ .

$\frac{- (x^{2} + 2 x h + h^{2} + 10 x) - (4 h) + 9}{h}$

Step 2.9

Factor $- 1$ out of $- (x^{2} + 2 x h + h^{2} + 10 x) - (4 h)$ .

$\frac{- (x^{2} + 2 x h + h^{2} + 10 x + 4 h) + 9}{h}$

Step 2.10

Rewrite $9$ as $- 1 (- 9)$ .

$\frac{- (x^{2} + 2 x h + h^{2} + 10 x + 4 h) - 1 (- 9)}{h}$

Step 2.11

Factor $- 1$ out of $- (x^{2} + 2 x h + h^{2} + 10 x + 4 h) - 1 (- 9)$ .

$\frac{- (x^{2} + 2 x h + h^{2} + 10 x + 4 h - 9)}{h}$

Step 2.12

Simplify the expression.

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Step 2.12.1

Rewrite $- (x^{2} + 2 x h + h^{2} + 10 x + 4 h - 9)$ as $- 1 (x^{2} + 2 x h + h^{2} + 10 x + 4 h - 9)$ .

$\frac{- 1 (x^{2} + 2 x h + h^{2} + 10 x + 4 h - 9)}{h}$

Step 2.12.2

Move the negative in front of the fraction.

$- \frac{x^{2} + 2 x h + h^{2} + 10 x + 4 h - 9}{h}$