Algebra Examples

$15 x^{4} y^{3} z^{2} - 25 x^{5} y^{2} z + 30 x^{2} y^{2} z$

Step 1

Factor $5 x^{2} y^{2} z$ out of $15 x^{4} y^{3} z^{2}$ .

$5 x^{2} y^{2} z (3 x^{2} y z) - 25 x^{5} y^{2} z + 30 x^{2} y^{2} z$

Step 2

Factor $5 x^{2} y^{2} z$ out of $- 25 x^{5} y^{2} z$ .

$5 x^{2} y^{2} z (3 x^{2} y z) + 5 x^{2} y^{2} z (- 5 x^{3}) + 30 x^{2} y^{2} z$

Step 3

Factor $5 x^{2} y^{2} z$ out of $30 x^{2} y^{2} z$ .

$5 x^{2} y^{2} z (3 x^{2} y z) + 5 x^{2} y^{2} z (- 5 x^{3}) + 5 x^{2} y^{2} z (6)$

Step 4

Factor $5 x^{2} y^{2} z$ out of $5 x^{2} y^{2} z (3 x^{2} y z) + 5 x^{2} y^{2} z (- 5 x^{3})$ .

$5 x^{2} y^{2} z (3 x^{2} y z - 5 x^{3}) + 5 x^{2} y^{2} z (6)$

Step 5

Factor $5 x^{2} y^{2} z$ out of $5 x^{2} y^{2} z (3 x^{2} y z - 5 x^{3}) + 5 x^{2} y^{2} z (6)$ .

$5 x^{2} y^{2} z (3 x^{2} y z - 5 x^{3} + 6)$