Pre-Algebra Examples

$\frac{63 x^{7} - 45 x^{5} - 54 x^{3}}{9 x^{3}}$

Step 1

Factor $9 x^{3}$ out of $63 x^{7} - 45 x^{5} - 54 x^{3}$ .

Tap for more steps...

Step 1.1

Factor $9 x^{3}$ out of $63 x^{7}$ .

$\frac{9 x^{3} (7 x^{4}) - 45 x^{5} - 54 x^{3}}{9 x^{3}}$

Step 1.2

Factor $9 x^{3}$ out of $- 45 x^{5}$ .

$\frac{9 x^{3} (7 x^{4}) + 9 x^{3} (- 5 x^{2}) - 54 x^{3}}{9 x^{3}}$

Step 1.3

Factor $9 x^{3}$ out of $- 54 x^{3}$ .

$\frac{9 x^{3} (7 x^{4}) + 9 x^{3} (- 5 x^{2}) + 9 x^{3} (- 6)}{9 x^{3}}$

Step 1.4

Factor $9 x^{3}$ out of $9 x^{3} (7 x^{4}) + 9 x^{3} (- 5 x^{2})$ .

$\frac{9 x^{3} (7 x^{4} - 5 x^{2}) + 9 x^{3} (- 6)}{9 x^{3}}$

Step 1.5

Factor $9 x^{3}$ out of $9 x^{3} (7 x^{4} - 5 x^{2}) + 9 x^{3} (- 6)$ .

$\frac{9 x^{3} (7 x^{4} - 5 x^{2} - 6)}{9 x^{3}}$

Step 2

Cancel the common factor of $9$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{9 x^{3} (7 x^{4} - 5 x^{2} - 6)}{9 x^{3}}$

Step 2.2

Rewrite the expression.

$\frac{x^{3} (7 x^{4} - 5 x^{2} - 6)}{x^{3}}$

Step 3

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

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{x^{3} (7 x^{4} - 5 x^{2} - 6)}{x^{3}}$

Step 3.2

Divide $7 x^{4} - 5 x^{2} - 6$ by $1$ .

$7 x^{4} - 5 x^{2} - 6$