Basic Math Examples

$2 a^{2} - a y + 2 a - y$

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.

$(2 a^{2} - a y) + 2 a - y$

Step 1.2

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

$a (2 a - 1 y) + 1 (2 a - y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 a - 1 y$ .

$(2 a - 1 y) (a + 1)$

Step 3

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

$(2 a - y) (a + 1)$