Pre-Algebra Examples

$\frac{72 x^{8} - 12 x^{4} + x^{3} - 72}{24}$

Step 1

Split the fraction $\frac{72 x^{8} - 12 x^{4} + x^{3} - 72}{24}$ into two fractions.

$\frac{72 x^{8} - 12 x^{4} + x^{3}}{24} + \frac{- 72}{24}$

Step 2

Split the fraction $\frac{72 x^{8} - 12 x^{4} + x^{3}}{24}$ into two fractions.

$\frac{72 x^{8} - 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 3

Split the fraction $\frac{72 x^{8} - 12 x^{4}}{24}$ into two fractions.

$\frac{72 x^{8}}{24} + \frac{- 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 4

Cancel the common factor of $72$ and $24$ .

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Step 4.1

Factor $24$ out of $72 x^{8}$ .

$\frac{24 (3 x^{8})}{24} + \frac{- 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $24$ out of $24$ .

$\frac{24 (3 x^{8})}{24 (1)} + \frac{- 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 4.2.2

Cancel the common factor.

$\frac{24 (3 x^{8})}{24 \cdot 1} + \frac{- 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 4.2.3

Rewrite the expression.

$\frac{3 x^{8}}{1} + \frac{- 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 4.2.4

Divide $3 x^{8}$ by $1$ .

$3 x^{8} + \frac{- 12 x^{4}}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 5

Cancel the common factor of $- 12$ and $24$ .

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Step 5.1

Factor $12$ out of $- 12 x^{4}$ .

$3 x^{8} + \frac{12 (- x^{4})}{24} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $12$ out of $24$ .

$3 x^{8} + \frac{12 (- x^{4})}{12 (2)} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 5.2.2

Cancel the common factor.

$3 x^{8} + \frac{12 (- x^{4})}{12 \cdot 2} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 5.2.3

Rewrite the expression.

$3 x^{8} + \frac{- x^{4}}{2} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 6

Move the negative in front of the fraction.

$3 x^{8} - \frac{x^{4}}{2} + \frac{x^{3}}{24} + \frac{- 72}{24}$

Step 7

Divide $- 72$ by $24$ .

$3 x^{8} - \frac{x^{4}}{2} + \frac{x^{3}}{24} - 3$