Algebra Examples

$3 x {(x - y)}^{2} - x y (x - y)$

Step 1

Factor $x (x - y)$ out of $3 x {(x - y)}^{2} - x y (x - y)$ .

Tap for more steps...

Step 1.1

Factor $x (x - y)$ out of $3 x {(x - y)}^{2}$ .

$x (x - y) (3 (x - y)) - x y (x - y)$

Step 1.2

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

$x (x - y) (3 (x - y)) + x (x - y) (- 1 y)$

Step 1.3

Factor $x (x - y)$ out of $x (x - y) (3 (x - y)) + x (x - y) (- 1 y)$ .

$x (x - y) (3 (x - y) - 1 y)$

Step 2

Apply the distributive property.

$x (x - y) (3 x + 3 (- y) - 1 y)$

Step 3

Multiply $- 1$ by $3$ .

$x (x - y) (3 x - 3 y - 1 y)$

Step 4

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

$x (x - y) (3 x - 3 y - y)$

Step 5

Subtract $y$ from $- 3 y$ .

$x (x - y) (3 x - 4 y)$