Factor 5p^3+5p-5p^2-5

$5 p^{3} + 5 p - 5 p^{2} - 5$

Step 1

Factor $5$ out of $5 p^{3} + 5 p - 5 p^{2} - 5$ .

Factor $5$ out of $5 p^{3}$ .

$5 (p^{3}) + 5 p - 5 p^{2} - 5$

Factor $5$ out of $5 p$ .

$5 (p^{3}) + 5 (p) - 5 p^{2} - 5$

Factor $5$ out of $- 5 p^{2}$ .

$5 (p^{3}) + 5 (p) + 5 (- p^{2}) - 5$

Factor $5$ out of $- 5$ .

$5 (p^{3}) + 5 (p) + 5 (- p^{2}) + 5 (- 1)$

Factor $5$ out of $5 (p^{3}) + 5 (p)$ .

$5 (p^{3} + p) + 5 (- p^{2}) + 5 (- 1)$

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

$5 (p^{3} + p - p^{2}) + 5 (- 1)$

Factor $5$ out of $5 (p^{3} + p - p^{2}) + 5 (- 1)$ .

$5 (p^{3} + p - p^{2} - 1)$

Step 2

Reorder terms.

$5 (p^{3} - p^{2} + p - 1)$

Step 3

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$5 ((p^{3} - p^{2}) + p - 1)$

Factor out the greatest common factor (GCF) from each group.

$5 (p^{2} (p - 1) + 1 (p - 1))$

Step 4

Factor.

Factor the polynomial by factoring out the greatest common factor, $p - 1$ .

$5 ((p - 1) (p^{2} + 1))$

Remove unnecessary parentheses.

$5 (p - 1) (p^{2} + 1)$