Algebra Examples

$3 a^{3} b^{2} c - 9 a^{2} b^{3} c^{2} + 15 a b^{4} c^{3}$

Step 1

Factor $3 a b^{2} c$ out of $3 a^{3} b^{2} c$ .

$3 a b^{2} c (a^{2}) - 9 a^{2} b^{3} c^{2} + 15 a b^{4} c^{3}$

Step 2

Factor $3 a b^{2} c$ out of $- 9 a^{2} b^{3} c^{2}$ .

$3 a b^{2} c (a^{2}) + 3 a b^{2} c (- 3 a b c) + 15 a b^{4} c^{3}$

Step 3

Factor $3 a b^{2} c$ out of $15 a b^{4} c^{3}$ .

$3 a b^{2} c (a^{2}) + 3 a b^{2} c (- 3 a b c) + 3 a b^{2} c (5 b^{2} c^{2})$

Step 4

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

$3 a b^{2} c (a^{2} - 3 a b c) + 3 a b^{2} c (5 b^{2} c^{2})$

Step 5

Factor $3 a b^{2} c$ out of $3 a b^{2} c (a^{2} - 3 a b c) + 3 a b^{2} c (5 b^{2} c^{2})$ .

$3 a b^{2} c (a^{2} - 3 a b c + 5 b^{2} c^{2})$