Algebra Examples

$\frac{a (x - 2 y)}{b (2 y - x)}$

Step 1

Cancel the common factor of $x - 2 y$ and $2 y - x$ .

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Step 1.1

Factor $- 1$ out of $x$ .

$\frac{a (- 1 (- x) - 2 y)}{b (2 y - x)}$

Step 1.2

Factor $- 1$ out of $- 2 y$ .

$\frac{a (- 1 (- x) - (2 y))}{b (2 y - x)}$

Step 1.3

Factor $- 1$ out of $- 1 (- x) - (2 y)$ .

$\frac{a (- 1 (- x + 2 y))}{b (2 y - x)}$

Step 1.4

Reorder terms.

$\frac{a (- 1 (- x + 2 y))}{b (- x + 2 y)}$

Step 1.5

Cancel the common factor.

$\frac{a (- 1 (- x + 2 y))}{b (- x + 2 y)}$

Step 1.6

Rewrite the expression.

$\frac{a \cdot (- 1)}{b}$

$\frac{a \cdot (- 1)}{b}$

Step 2

Simplify the expression.

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Step 2.1

Move $- 1$ to the left of $a$ .

$\frac{- 1 \cdot a}{b}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{a}{b}$

$- \frac{a}{b}$

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