Algebra Examples

$a c + 2 b c - 6 a b - 3 a^{2}$

Step 1

Reorder terms.

$- 3 a^{2} + a c + 2 b c - 6 a b$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(- 3 a^{2} + a c) + 2 b c - 6 a b$

Step 2.2

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 3 a + c$ .

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

Step 4

Factor $- 1$ out of $- 3 a + c$ .

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Step 4.1

Factor $- 1$ out of $- 3 a$ .

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

Step 4.2

Factor $- 1$ out of $c$ .

$(- (3 a) - 1 (- c)) (a + 2 b)$

Step 4.3

Factor $- 1$ out of $- (3 a) - 1 (- c)$ .

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