Factor 108x^2y^3z-147yz^3

$108 x^{2} y^{3} z - 147 y z^{3}$

Factor $3 y z$ out of $108 x^{2} y^{3} z - 147 y z^{3}$ .

Factor $3 y z$ out of $108 x^{2} y^{3} z$ .

$3 y z (36 x^{2} y^{2}) - 147 y z^{3}$

Factor $3 y z$ out of $- 147 y z^{3}$ .

$3 y z (36 x^{2} y^{2}) + 3 y z (- 49 z^{2})$

Factor $3 y z$ out of $3 y z (36 x^{2} y^{2}) + 3 y z (- 49 z^{2})$ .

$3 y z (36 x^{2} y^{2} - 49 z^{2})$

Rewrite $36 x^{2} y^{2}$ as ${(6 x y)}^{2}$ .

$3 y z ({(6 x y)}^{2} - 49 z^{2})$

Rewrite $49 z^{2}$ as ${(7 z)}^{2}$ .

$3 y z ({(6 x y)}^{2} - {(7 z)}^{2})$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 6 x y$ and $b = 7 z$ .

$3 y z ((6 x y + 7 z) (6 x y - (7 z)))$

Factor.

Multiply $7$ by $- 1$ .

$3 y z ((6 x y + 7 z) (6 x y - 7 z))$

Remove unnecessary parentheses.

$3 y z (6 x y + 7 z) (6 x y - 7 z)$

Factor 108x^2y^3z-147yz^3

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