Algebra Examples

$30 y^{4} z^{3} x^{5} + 50 y^{4} z^{5} - 10 y^{4} z^{3} x$

Step 1

Factor $10 y^{4} z^{3}$ out of $30 y^{4} z^{3} x^{5} + 50 y^{4} z^{5} - 10 y^{4} z^{3} x$ .

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Step 1.1

Factor $10 y^{4} z^{3}$ out of $30 y^{4} z^{3} x^{5}$ .

$10 y^{4} z^{3} (3 x^{5}) + 50 y^{4} z^{5} - 10 y^{4} z^{3} x$

Step 1.2

Factor $10 y^{4} z^{3}$ out of $50 y^{4} z^{5}$ .

$10 y^{4} z^{3} (3 x^{5}) + 10 y^{4} z^{3} (5 z^{2}) - 10 y^{4} z^{3} x$

Step 1.3

Factor $10 y^{4} z^{3}$ out of $- 10 y^{4} z^{3} x$ .

$10 y^{4} z^{3} (3 x^{5}) + 10 y^{4} z^{3} (5 z^{2}) + 10 y^{4} z^{3} (- 1 x)$

Step 1.4

Factor $10 y^{4} z^{3}$ out of $10 y^{4} z^{3} (3 x^{5}) + 10 y^{4} z^{3} (5 z^{2})$ .

$10 y^{4} z^{3} (3 x^{5} + 5 z^{2}) + 10 y^{4} z^{3} (- 1 x)$

Step 1.5

Factor $10 y^{4} z^{3}$ out of $10 y^{4} z^{3} (3 x^{5} + 5 z^{2}) + 10 y^{4} z^{3} (- 1 x)$ .

$10 y^{4} z^{3} (3 x^{5} + 5 z^{2} - 1 x)$

Step 2

Rewrite $- 1 x$ as $- x$ .

$10 y^{4} z^{3} (3 x^{5} + 5 z^{2} - x)$