Algebra Examples

$50 x^{6} y^{2} z^{4} - 10 x^{2} y^{6} z^{5}$

Step 1

Factor $10 x^{2} y^{2} z^{4}$ out of $50 x^{6} y^{2} z^{4} - 10 x^{2} y^{6} z^{5}$ .

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Step 1.1

Factor $10 x^{2} y^{2} z^{4}$ out of $50 x^{6} y^{2} z^{4}$ .

$10 x^{2} y^{2} z^{4} (5 x^{4}) - 10 x^{2} y^{6} z^{5}$

Step 1.2

Factor $10 x^{2} y^{2} z^{4}$ out of $- 10 x^{2} y^{6} z^{5}$ .

$10 x^{2} y^{2} z^{4} (5 x^{4}) + 10 x^{2} y^{2} z^{4} (- 1 y^{4} z)$

Step 1.3

Factor $10 x^{2} y^{2} z^{4}$ out of $10 x^{2} y^{2} z^{4} (5 x^{4}) + 10 x^{2} y^{2} z^{4} (- 1 y^{4} z)$ .

$10 x^{2} y^{2} z^{4} (5 x^{4} - 1 y^{4} z)$

Step 2

Rewrite $- 1 y^{4}$ as $- y^{4}$ .

$10 x^{2} y^{2} z^{4} (5 x^{4} - y^{4} z)$