Algebra Examples

$(\frac{5}{u y^{2}}) (- 5 u^{3} y)$

Step 1

Rewrite using the commutative property of multiplication.

$- 5 \frac{5}{u y^{2}} (u^{3} y)$

Step 2

Multiply $- 5 \frac{5}{u y^{2}}$ .

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Step 2.1

Combine $- 5$ and $\frac{5}{u y^{2}}$ .

$\frac{- 5 \cdot 5}{u y^{2}} (u^{3} y)$

Step 2.2

Multiply $- 5$ by $5$ .

$\frac{- 25}{u y^{2}} (u^{3} y)$

$\frac{- 25}{u y^{2}} (u^{3} y)$

Step 3

Cancel the common factor of $u y$ .

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Step 3.1

Factor $u y$ out of $u y^{2}$ .

$\frac{- 25}{u y (y)} (u^{3} y)$

Step 3.2

Factor $u y$ out of $u^{3} y$ .

$\frac{- 25}{u y (y)} (u y (u^{2}))$

Step 3.3

Cancel the common factor.

$\frac{- 25}{u y \cdot y} (u y u^{2})$

Step 3.4

Rewrite the expression.

$\frac{- 25}{y} u^{2}$

$\frac{- 25}{y} u^{2}$

Step 4

Combine $\frac{- 25}{y}$ and $u^{2}$ .

$\frac{- 25 u^{2}}{y}$

Step 5

Move the negative in front of the fraction.

$- \frac{25 u^{2}}{y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$