Algebra Examples

$y (a - c) + 5 a - 5 c$

Step 1

Apply the distributive property.

$y a + y (- c) + 5 a - 5 c$

Step 2

Rewrite using the commutative property of multiplication.

$y a - y c + 5 a - 5 c$

Step 3

Rewrite $y a - y c + 5 a - 5 c$ in a factored form.

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Step 3.1

Factor out the greatest common factor from each group.

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Step 3.1.1

Group the first two terms and the last two terms.

$(y a - y c) + 5 a - 5 c$

Step 3.1.2

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

$y (a - c) + 5 (a - c)$

Step 3.2

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

$(a - c) (y + 5)$