Algebra Examples

$- \frac{25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$

Step 1

Cancel the common factor of $5 x^{2} y$ .

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Step 1.1

Move the leading negative in $- \frac{25 x^{3} y^{3}}{14 a^{2} b}$ into the numerator.

$\frac{- 25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$

Step 1.2

Move the leading negative in $- \frac{21 a b}{10 x^{2} y}$ into the numerator.

$\frac{- 25 x^{3} y^{3}}{14 a^{2} b} \cdot \frac{- 21 a b}{10 x^{2} y}$

Step 1.3

Factor $5 x^{2} y$ out of $- 25 x^{3} y^{3}$ .

$\frac{5 x^{2} y (- 5 x y^{2})}{14 a^{2} b} \cdot \frac{- 21 a b}{10 x^{2} y}$

Step 1.4

Factor $5 x^{2} y$ out of $10 x^{2} y$ .

$\frac{5 x^{2} y (- 5 x y^{2})}{14 a^{2} b} \cdot \frac{- 21 a b}{5 x^{2} y (2)}$

Step 1.5

Cancel the common factor.

$\frac{5 x^{2} y (- 5 x y^{2})}{14 a^{2} b} \cdot \frac{- 21 a b}{5 x^{2} y \cdot 2}$

Step 1.6

Rewrite the expression.

$\frac{- 5 x y^{2}}{14 a^{2} b} \cdot \frac{- 21 a b}{2}$

Step 2

Cancel the common factor of $7 a b$ .

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Step 2.1

Factor $7 a b$ out of $14 a^{2} b$ .

$\frac{- 5 x y^{2}}{7 a b (2 a)} \cdot \frac{- 21 a b}{2}$

Step 2.2

Factor $7 a b$ out of $- 21 a b$ .

$\frac{- 5 x y^{2}}{7 a b (2 a)} \cdot \frac{7 a b (- 3)}{2}$

Step 2.3

Cancel the common factor.

$\frac{- 5 x y^{2}}{7 a b (2 a)} \cdot \frac{7 a b \cdot - 3}{2}$

Step 2.4

Rewrite the expression.

$\frac{- 5 x y^{2}}{2 a} \cdot \frac{- 3}{2}$

Step 3

Multiply $\frac{- 5 x y^{2}}{2 a}$ by $\frac{- 3}{2}$ .

$\frac{- 5 x y^{2} \cdot - 3}{2 a \cdot 2}$

Step 4

Multiply.

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Step 4.1

Multiply $- 3$ by $- 5$ .

$\frac{15 x y^{2}}{2 a \cdot 2}$

Step 4.2

Multiply $2$ by $2$ .

$\frac{15 x y^{2}}{4 a}$