Basic Math Examples

$\frac{32 + 4 m^{3} - 32 m^{2} + 28 m}{4 m - 8}$

Step 1

Cancel the common factor of $32 + 4 m^{3} - 32 m^{2} + 28 m$ and $4 m - 8$ .

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Step 1.1

Factor $4$ out of $32$ .

$\frac{4 \cdot 8 + 4 m^{3} - 32 m^{2} + 28 m}{4 m - 8}$

Step 1.2

Factor $4$ out of $4 m^{3}$ .

$\frac{4 \cdot 8 + 4 (m^{3}) - 32 m^{2} + 28 m}{4 m - 8}$

Step 1.3

Factor $4$ out of $4 (8) + 4 (m^{3})$ .

$\frac{4 (8 + m^{3}) - 32 m^{2} + 28 m}{4 m - 8}$

Step 1.4

Factor $4$ out of $- 32 m^{2}$ .

$\frac{4 (8 + m^{3}) + 4 (- 8 m^{2}) + 28 m}{4 m - 8}$

Step 1.5

Factor $4$ out of $4 (8 + m^{3}) + 4 (- 8 m^{2})$ .

$\frac{4 (8 + m^{3} - 8 m^{2}) + 28 m}{4 m - 8}$

Step 1.6

Factor $4$ out of $28 m$ .

$\frac{4 (8 + m^{3} - 8 m^{2}) + 4 (7 m)}{4 m - 8}$

Step 1.7

Factor $4$ out of $4 (8 + m^{3} - 8 m^{2}) + 4 (7 m)$ .

$\frac{4 (8 + m^{3} - 8 m^{2} + 7 m)}{4 m - 8}$

Step 1.8

Cancel the common factors.

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Step 1.8.1

Factor $4$ out of $4 m$ .

$\frac{4 (8 + m^{3} - 8 m^{2} + 7 m)}{4 (m) - 8}$

Step 1.8.2

Factor $4$ out of $- 8$ .

$\frac{4 (8 + m^{3} - 8 m^{2} + 7 m)}{4 (m) + 4 (- 2)}$

Step 1.8.3

Factor $4$ out of $4 (m) + 4 (- 2)$ .

$\frac{4 (8 + m^{3} - 8 m^{2} + 7 m)}{4 (m - 2)}$

Step 1.8.4

Cancel the common factor.

$\frac{4 (8 + m^{3} - 8 m^{2} + 7 m)}{4 (m - 2)}$

Step 1.8.5

Rewrite the expression.

$\frac{8 + m^{3} - 8 m^{2} + 7 m}{m - 2}$

Step 2

Reorder terms.

$\frac{m^{3} - 8 m^{2} + 7 m + 8}{m - 2}$