Basic Math Examples

$c^{5} + c^{4} + c^{3} + c^{2}$

Step 1

Factor $c^{2}$ out of $c^{5} + c^{4} + c^{3} + c^{2}$ .

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Step 1.1

Factor $c^{2}$ out of $c^{5}$ .

$c^{2} c^{3} + c^{4} + c^{3} + c^{2}$

Step 1.2

Factor $c^{2}$ out of $c^{4}$ .

$c^{2} c^{3} + c^{2} c^{2} + c^{3} + c^{2}$

Step 1.3

Factor $c^{2}$ out of $c^{3}$ .

$c^{2} c^{3} + c^{2} c^{2} + c^{2} c + c^{2}$

Step 1.4

Multiply by $1$ .

$c^{2} c^{3} + c^{2} c^{2} + c^{2} c + c^{2} \cdot 1$

Step 1.5

Factor $c^{2}$ out of $c^{2} c^{3} + c^{2} c^{2}$ .

$c^{2} (c^{3} + c^{2}) + c^{2} c + c^{2} \cdot 1$

Step 1.6

Factor $c^{2}$ out of $c^{2} (c^{3} + c^{2}) + c^{2} c$ .

$c^{2} (c^{3} + c^{2} + c) + c^{2} \cdot 1$

Step 1.7

Factor $c^{2}$ out of $c^{2} (c^{3} + c^{2} + c) + c^{2} \cdot 1$ .

$c^{2} (c^{3} + c^{2} + c + 1)$

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.

$c^{2} ((c^{3} + c^{2}) + c + 1)$

Step 2.2

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

$c^{2} (c^{2} (c + 1) + 1 (c + 1))$

Step 3

Factor.

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Step 3.1

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

$c^{2} ((c + 1) (c^{2} + 1))$

Step 3.2

Remove unnecessary parentheses.

$c^{2} (c + 1) (c^{2} + 1)$