Basic Math Examples

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

Step 1

Apply the distributive property.

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

Step 2

Rewrite $y^{2} + 2 y - a y - 2 a$ in a factored form.

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Step 2.1

Factor out the greatest common factor from each group.

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Step 2.1.1

Group the first two terms and the last two terms.

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

Step 2.1.2

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

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

Step 2.2

Factor the polynomial by factoring out the greatest common factor, $y + 2$ .

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