Algebra Examples

a y - 3 b y + 3 a x - 9 b x

$a y - 3 b y + 3 a x - 9 b x$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

(a y - 3 b y) + 3 a x - 9 b x

$(a y - 3 b y) + 3 a x - 9 b x$

Step 1.2

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

y (a - 3 b) + 3 x (a - 3 b)

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

y (a - 3 b) + 3 x (a - 3 b)

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

Step 2

Factor the polynomial by factoring out the greatest common factor,

a - 3 b

$a - 3 b$ .

(a - 3 b) (y + 3 x)

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

a y - 3 b y + 3 a x - 9 b x

$a y - 3 b y + 3 a x - 9 b x$

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