Trigonometry Examples

$\frac{38 x^{2} y z^{2}}{- 19 x y^{2} z^{3}}$

Step 1

Reduce the expression $\frac{38 x^{2} y z^{2}}{- 19 x y^{2} z^{3}}$ by cancelling the common factors.

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Step 1.1

Factor $19$ out of $38 x^{2} y z^{2}$ .

$\frac{19 (2 x^{2} y z^{2})}{- 19 x y^{2} z^{3}}$

Step 1.2

Factor $19$ out of $- 19 x y^{2} z^{3}$ .

$\frac{19 (2 x^{2} y z^{2})}{19 (- x y^{2} z^{3})}$

Step 1.3

Cancel the common factor.

$\frac{19 (2 x^{2} y z^{2})}{19 (- x y^{2} z^{3})}$

Step 1.4

Rewrite the expression.

$\frac{2 x^{2} y z^{2}}{- x y^{2} z^{3}}$

Step 2

Reduce the expression $\frac{2 x^{2} y z^{2}}{- x y^{2} z^{3}}$ by cancelling the common factors.

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Step 2.1

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

$\frac{x (2 x y z^{2})}{- x y^{2} z^{3}}$

Step 2.2

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

$\frac{x (2 x y z^{2})}{x (- 1 y^{2} z^{3})}$

Step 2.3

Cancel the common factor.

$\frac{x (2 x y z^{2})}{x (- 1 y^{2} z^{3})}$

Step 2.4

Rewrite the expression.

$\frac{2 x y z^{2}}{- 1 y^{2} z^{3}}$

Step 3

Reduce the expression $\frac{2 x y z^{2}}{- 1 y^{2} z^{3}}$ by cancelling the common factors.

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Step 3.1

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

$\frac{y (2 x z^{2})}{- 1 y^{2} z^{3}}$

Step 3.2

Factor $y$ out of $- 1 y^{2} z^{3}$ .

$\frac{y (2 x z^{2})}{y (- 1 y z^{3})}$

Step 3.3

Cancel the common factor.

$\frac{y (2 x z^{2})}{y (- 1 y z^{3})}$

Step 3.4

Rewrite the expression.

$\frac{2 x z^{2}}{- 1 y z^{3}}$

Step 4

Reduce the expression $\frac{2 x z^{2}}{- 1 y z^{3}}$ by cancelling the common factors.

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Step 4.1

Factor $z^{2}$ out of $2 x z^{2}$ .

$\frac{z^{2} (2 x)}{- 1 y z^{3}}$

Step 4.2

Factor $z^{2}$ out of $- 1 y z^{3}$ .

$\frac{z^{2} (2 x)}{z^{2} (- 1 y z)}$

Step 4.3

Cancel the common factor.

$\frac{z^{2} (2 x)}{z^{2} (- 1 y z)}$

Step 4.4

Rewrite the expression.

$\frac{2 x}{- 1 y z}$