Finite Math Examples

$\frac{a^{2} x - a^{2} y}{a^{2} - a y^{2}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

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

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

Step 1.1.2

Factor $a^{2}$ out of $- a^{2} y$ .

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

Step 1.1.3

Factor $a^{2}$ out of $a^{2} (x) + a^{2} (- 1 y)$ .

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

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

Step 1.2

Rewrite $- 1 y$ as $- y$ .

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

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

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Factor $a$ out of $a^{2} - a y^{2}$ .

Tap for more steps...

Step 2.1.1

Factor $a$ out of $a^{2}$ .

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

Step 2.1.2

Factor $a$ out of $- a y^{2}$ .

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

Step 2.1.3

Factor $a$ out of $a \cdot a + a (- 1 y^{2})$ .

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

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

Step 2.2

Rewrite $- 1 y^{2}$ as $- y^{2}$ .

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

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

Step 3

Cancel the common factor of $a^{2}$ and $a$ .

Tap for more steps...

Step 3.1

Factor $a$ out of $a^{2} (x - y)$ .

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

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Cancel the common factor.

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

Step 3.2.2

Rewrite the expression.

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

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

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

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