Pre-Algebra Examples

$a y - 5 b y + 5 a x - 25 b x$

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.

$(a y - 5 b y) + 5 a x - 25 b x$

Step 1.2

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

$y (a - 5 b) + 5 x (a - 5 b)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $a - 5 b$ .

$(a - 5 b) (y + 5 x)$