Algebra Examples

$2 x - 4 x y + 10 y - 5$

Step 1

Reorder terms.

$- 4 x y + 2 x + 10 y - 5$

Step 2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 2.1

Group the first two terms and the last two terms.

$(- 4 x y + 2 x) + 10 y - 5$

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$2 x (- 2 y + 1) - 5 (- 2 y + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 2 y + 1$ .

$(- 2 y + 1) (2 x - 5)$

Step 4

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

Tap for more steps...

Step 4.1

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

$(- (2 y) + 1) (2 x - 5)$

Step 4.2

Rewrite $1$ as $- 1 (- 1)$ .

$(- (2 y) - 1 (- 1)) (2 x - 5)$

Step 4.3

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

$- (2 y - 1) (2 x - 5)$