Basic Math Examples

$2 a x + a y - 4 b x - 2 b y + 6 c x + 3 c y$

Step 1

Regroup terms.

$2 a x - 4 b x + 6 c x + a y - 2 b y + 3 c y$

Step 2

Factor $2 x$ out of $2 a x - 4 b x + 6 c x$ .

Tap for more steps...

Step 2.1

Factor $2 x$ out of $2 a x$ .

$2 x (a) - 4 b x + 6 c x + a y - 2 b y + 3 c y$

Step 2.2

Factor $2 x$ out of $- 4 b x$ .

$2 x (a) + 2 x (- 2 b) + 6 c x + a y - 2 b y + 3 c y$

Step 2.3

Factor $2 x$ out of $6 c x$ .

$2 x (a) + 2 x (- 2 b) + 2 x (3 c) + a y - 2 b y + 3 c y$

Step 2.4

Factor $2 x$ out of $2 x (a) + 2 x (- 2 b)$ .

$2 x (a - 2 b) + 2 x (3 c) + a y - 2 b y + 3 c y$

Step 2.5

Factor $2 x$ out of $2 x (a - 2 b) + 2 x (3 c)$ .

$2 x (a - 2 b + 3 c) + a y - 2 b y + 3 c y$

Step 3

Factor $y$ out of $a y - 2 b y + 3 c y$ .

Tap for more steps...

Step 3.1

Factor $y$ out of $a y$ .

$2 x (a - 2 b + 3 c) + y a - 2 b y + 3 c y$

Step 3.2

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

$2 x (a - 2 b + 3 c) + y a + y (- 2 b) + 3 c y$

Step 3.3

Factor $y$ out of $3 c y$ .

$2 x (a - 2 b + 3 c) + y a + y (- 2 b) + y (3 c)$

Step 3.4

Factor $y$ out of $y a + y (- 2 b)$ .

$2 x (a - 2 b + 3 c) + y (a - 2 b) + y (3 c)$

Step 3.5

Factor $y$ out of $y (a - 2 b) + y (3 c)$ .

$2 x (a - 2 b + 3 c) + y (a - 2 b + 3 c)$

Step 4

Factor $a - 2 b + 3 c$ out of $2 x (a - 2 b + 3 c) + y (a - 2 b + 3 c)$ .

Tap for more steps...

Step 4.1

Factor $a - 2 b + 3 c$ out of $2 x (a - 2 b + 3 c)$ .

$(a - 2 b + 3 c) (2 x) + y (a - 2 b + 3 c)$

Step 4.2

Factor $a - 2 b + 3 c$ out of $y (a - 2 b + 3 c)$ .

$(a - 2 b + 3 c) (2 x) + (a - 2 b + 3 c) y$

Step 4.3

Factor $a - 2 b + 3 c$ out of $(a - 2 b + 3 c) (2 x) + (a - 2 b + 3 c) y$ .

$(a - 2 b + 3 c) (2 x + y)$