Pre-Algebra Examples

$\frac{25 x^{3} - 45 x^{2} + 40 x - 15}{5}$

Step 1

Factor $5$ out of $25 x^{3}$ .

$\frac{5 (5 x^{3}) - 45 x^{2} + 40 x - 15}{5}$

Step 2

Factor $5$ out of $- 45 x^{2}$ .

$\frac{5 (5 x^{3}) + 5 (- 9 x^{2}) + 40 x - 15}{5}$

Step 3

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

$\frac{5 (5 x^{3} - 9 x^{2}) + 40 x - 15}{5}$

Step 4

Factor $5$ out of $40 x$ .

$\frac{5 (5 x^{3} - 9 x^{2}) + 5 (8 x) - 15}{5}$

Step 5

Factor $5$ out of $5 (5 x^{3} - 9 x^{2}) + 5 (8 x)$ .

$\frac{5 (5 x^{3} - 9 x^{2} + 8 x) - 15}{5}$

Step 6

Factor $5$ out of $- 15$ .

$\frac{5 (5 x^{3} - 9 x^{2} + 8 x) + 5 \cdot - 3}{5}$

Step 7

Factor $5$ out of $5 (5 x^{3} - 9 x^{2} + 8 x) + 5 (- 3)$ .

$\frac{5 (5 x^{3} - 9 x^{2} + 8 x - 3)}{5}$

Step 8

Cancel the common factors.

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Step 8.1

Factor $5$ out of $5$ .

$\frac{5 (5 x^{3} - 9 x^{2} + 8 x - 3)}{5 (1)}$

Step 8.2

Cancel the common factor.

$\frac{5 (5 x^{3} - 9 x^{2} + 8 x - 3)}{5 \cdot 1}$

Step 8.3

Rewrite the expression.

$\frac{5 x^{3} - 9 x^{2} + 8 x - 3}{1}$

Step 8.4

Divide $5 x^{3} - 9 x^{2} + 8 x - 3$ by $1$ .

$5 x^{3} - 9 x^{2} + 8 x - 3$