Basic Math Examples

$2 w^{3} + 5 w^{2} + 10 w + 25$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$(2 w^{3} + 5 w^{2}) + 10 w + 25$

Step 1.2

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

$w^{2} (2 w + 5) + 5 (2 w + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 w + 5$ .

$(2 w + 5) (w^{2} + 5)$