Pre-Algebra Examples

$\frac{64 x^{7} - 32 x^{5} - 48 x^{3}}{8 x^{3}}$

Step 1

Factor $16 x^{3}$ out of $64 x^{7} - 32 x^{5} - 48 x^{3}$ .

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Step 1.1

Factor $16 x^{3}$ out of $64 x^{7}$ .

$\frac{16 x^{3} (4 x^{4}) - 32 x^{5} - 48 x^{3}}{8 x^{3}}$

Step 1.2

Factor $16 x^{3}$ out of $- 32 x^{5}$ .

$\frac{16 x^{3} (4 x^{4}) + 16 x^{3} (- 2 x^{2}) - 48 x^{3}}{8 x^{3}}$

Step 1.3

Factor $16 x^{3}$ out of $- 48 x^{3}$ .

$\frac{16 x^{3} (4 x^{4}) + 16 x^{3} (- 2 x^{2}) + 16 x^{3} (- 3)}{8 x^{3}}$

Step 1.4

Factor $16 x^{3}$ out of $16 x^{3} (4 x^{4}) + 16 x^{3} (- 2 x^{2})$ .

$\frac{16 x^{3} (4 x^{4} - 2 x^{2}) + 16 x^{3} (- 3)}{8 x^{3}}$

Step 1.5

Factor $16 x^{3}$ out of $16 x^{3} (4 x^{4} - 2 x^{2}) + 16 x^{3} (- 3)$ .

$\frac{16 x^{3} (4 x^{4} - 2 x^{2} - 3)}{8 x^{3}}$

Step 2

Cancel the common factor of $16$ and $8$ .

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Step 2.1

Factor $8$ out of $16 x^{3} (4 x^{4} - 2 x^{2} - 3)$ .

$\frac{8 (2 x^{3} (4 x^{4} - 2 x^{2} - 3))}{8 x^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $8 x^{3}$ .

$\frac{8 (2 x^{3} (4 x^{4} - 2 x^{2} - 3))}{8 (x^{3})}$

Step 2.2.2

Cancel the common factor.

$\frac{8 (2 x^{3} (4 x^{4} - 2 x^{2} - 3))}{8 x^{3}}$

Step 2.2.3

Rewrite the expression.

$\frac{2 x^{3} (4 x^{4} - 2 x^{2} - 3)}{x^{3}}$

Step 3

Cancel the common factor of $x^{3}$ .

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Step 3.1

Cancel the common factor.

$\frac{2 x^{3} (4 x^{4} - 2 x^{2} - 3)}{x^{3}}$

Step 3.2

Divide $2 (4 x^{4} - 2 x^{2} - 3)$ by $1$ .

$2 (4 x^{4} - 2 x^{2} - 3)$

Step 4

Apply the distributive property.

$2 (4 x^{4}) + 2 (- 2 x^{2}) + 2 \cdot - 3$

Step 5

Simplify.

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Step 5.1

Multiply $4$ by $2$ .

$8 x^{4} + 2 (- 2 x^{2}) + 2 \cdot - 3$

Step 5.2

Multiply $- 2$ by $2$ .

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

Step 5.3

Multiply $2$ by $- 3$ .

$8 x^{4} - 4 x^{2} - 6$