Basic Math Examples

$(2 p^{3} + 12 p^{2} + 22 p + 12) \div (p + 3)$

Step 1

Rewrite the division as a fraction.

$\frac{2 p^{3} + 12 p^{2} + 22 p + 12}{p + 3}$

Step 2

Factor $2$ out of $2 p^{3} + 12 p^{2} + 22 p + 12$ .

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Step 2.1

Factor $2$ out of $2 p^{3}$ .

$\frac{2 (p^{3}) + 12 p^{2} + 22 p + 12}{p + 3}$

Step 2.2

Factor $2$ out of $12 p^{2}$ .

$\frac{2 (p^{3}) + 2 (6 p^{2}) + 22 p + 12}{p + 3}$

Step 2.3

Factor $2$ out of $22 p$ .

$\frac{2 (p^{3}) + 2 (6 p^{2}) + 2 (11 p) + 12}{p + 3}$

Step 2.4

Factor $2$ out of $12$ .

$\frac{2 p^{3} + 2 (6 p^{2}) + 2 (11 p) + 2 \cdot 6}{p + 3}$

Step 2.5

Factor $2$ out of $2 p^{3} + 2 (6 p^{2})$ .

$\frac{2 (p^{3} + 6 p^{2}) + 2 (11 p) + 2 \cdot 6}{p + 3}$

Step 2.6

Factor $2$ out of $2 (p^{3} + 6 p^{2}) + 2 (11 p)$ .

$\frac{2 (p^{3} + 6 p^{2} + 11 p) + 2 \cdot 6}{p + 3}$

Step 2.7

Factor $2$ out of $2 (p^{3} + 6 p^{2} + 11 p) + 2 \cdot 6$ .

$\frac{2 (p^{3} + 6 p^{2} + 11 p + 6)}{p + 3}$