Pre-Algebra Examples

$\frac{8 h - 8 x^{2} - 8 h^{2}}{2 h}$

Step 1

Cancel the common factor of $8 h - 8 x^{2} - 8 h^{2}$ and $2$ .

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Step 1.1

Factor $2$ out of $8 h$ .

$\frac{2 (4 h) - 8 x^{2} - 8 h^{2}}{2 h}$

Step 1.2

Factor $2$ out of $- 8 x^{2}$ .

$\frac{2 (4 h) + 2 (- 4 x^{2}) - 8 h^{2}}{2 h}$

Step 1.3

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

$\frac{2 (4 h - 4 x^{2}) - 8 h^{2}}{2 h}$

Step 1.4

Factor $2$ out of $- 8 h^{2}$ .

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

Step 1.5

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

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

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $2$ out of $2 h$ .

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

Step 1.6.2

Cancel the common factor.

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

Step 1.6.3

Rewrite the expression.

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

Step 2

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

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Step 2.1

Factor $4$ out of $4 h$ .

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

Step 2.2

Factor $4$ out of $- 4 x^{2}$ .

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

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

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

Step 3

Apply the distributive property.

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

Step 4

Simplify.

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Step 4.1

Multiply $- 1$ by $4$ .

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

Step 4.2

Multiply $- 1$ by $4$ .

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

Step 5

Split the fraction $\frac{4 h - 4 x^{2} - 4 h^{2}}{h}$ into two fractions.

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

Step 6

Split the fraction $\frac{4 h - 4 x^{2}}{h}$ into two fractions.

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

Step 7

Cancel the common factor of $h$ .

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Step 7.1

Cancel the common factor.

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

Step 7.2

Divide $4$ by $1$ .

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

Step 8

Move the negative in front of the fraction.

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

Step 9

Cancel the common factor of $h^{2}$ and $h$ .

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Step 9.1

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

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

Step 9.2

Cancel the common factors.

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Step 9.2.1

Raise $h$ to the power of $1$ .

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

Step 9.2.2

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

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

Step 9.2.3

Cancel the common factor.

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

Step 9.2.4

Rewrite the expression.

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

Step 9.2.5

Divide $- 4 h$ by $1$ .

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