Precalculus Examples

$8 x^{4} y z^{3} - 32 x^{3} y^{4} z + 40 x^{2} y^{2} z^{3}$

Step 1

Factor $8 x^{2} y z$ out of $8 x^{4} y z^{3}$ .

$8 x^{2} y z (x^{2} z^{2}) - 32 x^{3} y^{4} z + 40 x^{2} y^{2} z^{3}$

Step 2

Factor $8 x^{2} y z$ out of $- 32 x^{3} y^{4} z$ .

$8 x^{2} y z (x^{2} z^{2}) + 8 x^{2} y z (- 4 x y^{3}) + 40 x^{2} y^{2} z^{3}$

Step 3

Factor $8 x^{2} y z$ out of $40 x^{2} y^{2} z^{3}$ .

$8 x^{2} y z (x^{2} z^{2}) + 8 x^{2} y z (- 4 x y^{3}) + 8 x^{2} y z (5 y z^{2})$

Step 4

Factor $8 x^{2} y z$ out of $8 x^{2} y z (x^{2} z^{2}) + 8 x^{2} y z (- 4 x y^{3})$ .

$8 x^{2} y z (x^{2} z^{2} - 4 x y^{3}) + 8 x^{2} y z (5 y z^{2})$

Step 5

Factor $8 x^{2} y z$ out of $8 x^{2} y z (x^{2} z^{2} - 4 x y^{3}) + 8 x^{2} y z (5 y z^{2})$ .

$8 x^{2} y z (x^{2} z^{2} - 4 x y^{3} + 5 y z^{2})$