Algebra Examples

$10 x - 2 x y + 35 - 7 y$

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.

$(10 x - 2 x y) + 35 - 7 y$

Step 1.2

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

$2 x (5 - 1 y) + 7 (5 - y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 - 1 y$ .

$(5 - 1 y) (2 x + 7)$

Step 3

Rewrite $- 1 y$ as $- y$ .

$(5 - y) (2 x + 7)$