Algebra Examples

$9 r s + 5 c r + 45 (c s) + 25 c^{2}$

Step 1

Remove parentheses.

$9 r s + 5 c r + 45 c s + 25 c^{2}$

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.

$(9 r s + 5 c r) + 45 c s + 25 c^{2}$

Step 2.2

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

$r (9 s + 5 c) + 5 c (9 s + 5 c)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $9 s + 5 c$ .

$(9 s + 5 c) (r + 5 c)$