Algebra Examples

$a^{3} (a - b + 1) - b^{2} (a - b + 1)$

Step 1

Factor $a - b + 1$ out of $a^{3} (a - b + 1)$ .

$(a - b + 1) a^{3} - b^{2} (a - b + 1)$

Step 2

Factor $a - b + 1$ out of $- b^{2} (a - b + 1)$ .

$(a - b + 1) a^{3} + (a - b + 1) (- b^{2})$

Step 3

Factor $a - b + 1$ out of $(a - b + 1) a^{3} + (a - b + 1) (- b^{2})$ .

$(a - b + 1) (a^{3} - b^{2})$