Algebra Examples

$x^{2} + a x - a^{2} y - a x y$

Step 1

Regroup terms.

$x^{2} - a x y + a x - a^{2} y$

Step 2

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

Tap for more steps...

Step 2.1

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

$x \cdot x - a x y + a x - a^{2} y$

Step 2.2

Factor $x$ out of $- a x y$ .

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

Step 2.3

Factor $x$ out of $x \cdot x + x (- a y)$ .

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

Step 3

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

Tap for more steps...

Step 3.1

Factor $a$ out of $a x$ .

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

Step 3.2

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

$x (x - a y) + a (x) + a (- a y)$

Step 3.3

Factor $a$ out of $a (x) + a (- a y)$ .

$x (x - a y) + a (x - a y)$

Step 4

Factor $x - a y$ out of $x (x - a y) + a (x - a y)$ .

Tap for more steps...

Step 4.1

Factor $x - a y$ out of $x (x - a y)$ .

$(x - a y) x + a (x - a y)$

Step 4.2

Factor $x - a y$ out of $a (x - a y)$ .

$(x - a y) x + (x - a y) a$

Step 4.3

Factor $x - a y$ out of $(x - a y) x + (x - a y) a$ .

$(x - a y) (x + a)$