Pre-Algebra Examples

Factor 5r^3+15r^2-125r-375
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 1.4
Factor out of .
Step 1.5
Factor out of .
Step 1.6
Factor out of .
Step 1.7
Factor out of .
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.
Step 2.2
Factor out the greatest common factor (GCF) from each group.
Step 3
Factor the polynomial by factoring out the greatest common factor, .
Step 4
Rewrite as .
Step 5
Factor.
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Step 5.1
Factor.
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Step 5.1.1
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 5.1.2
Remove unnecessary parentheses.
Step 5.2
Remove unnecessary parentheses.