Algebra Examples

$a x + a y + b x + b y - c x - c y$

Step 1

Regroup terms.

$a x + b x - c x + a y + b y - c y$

Step 2

Factor $x$ out of $a x + b x - c x$ .

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Step 2.1

Factor $x$ out of $a x$ .

$x a + b x - c x + a y + b y - c y$

Step 2.2

Factor $x$ out of $b x$ .

$x a + x b - c x + a y + b y - c y$

Step 2.3

Factor $x$ out of $- c x$ .

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

Step 2.4

Factor $x$ out of $x a + x b$ .

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

Step 2.5

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

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

Step 3

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

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Step 3.1

Factor $y$ out of $a y$ .

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

Step 3.2

Factor $y$ out of $b y$ .

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

Step 3.3

Factor $y$ out of $- c y$ .

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

Step 3.4

Factor $y$ out of $y a + y b$ .

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

Step 3.5

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

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

Step 4

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

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Step 4.1

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

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

Step 4.2

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

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

Step 4.3

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

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