Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Rewrite using the commutative property of multiplication.

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

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

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

Step 2.2

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

$y (a - 1 c) + 5 (a - c)$

Step 3

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

$(a - 1 c) (y + 5)$

Step 4

Rewrite $- 1 c$ as $- c$ .

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