Factor 5r^3+15r^2-125r-375

Math
5r3+15r2-125r-375
Factor 5 out of 5r3+15r2-125r-375.
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Factor 5 out of 5r3.
5(r3)+15r2-125r-375
Factor 5 out of 15r2.
5(r3)+5(3r2)-125r-375
Factor 5 out of -125r.
5(r3)+5(3r2)+5(-25r)-375
Factor 5 out of -375.
5r3+5(3r2)+5(-25r)+5⋅-75
Factor 5 out of 5r3+5(3r2).
5(r3+3r2)+5(-25r)+5⋅-75
Factor 5 out of 5(r3+3r2)+5(-25r).
5(r3+3r2-25r)+5⋅-75
Factor 5 out of 5(r3+3r2-25r)+5⋅-75.
5(r3+3r2-25r-75)
5(r3+3r2-25r-75)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
5((r3+3r2)-25r-75)
Factor out the greatest common factor (GCF) from each group.
5(r2(r+3)-25(r+3))
5(r2(r+3)-25(r+3))
Factor the polynomial by factoring out the greatest common factor, r+3.
5((r+3)(r2-25))
Rewrite 25 as 52.
5((r+3)(r2-52))
Factor.
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Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=r and b=5.
5((r+3)((r+5)(r-5)))
Remove unnecessary parentheses.
5((r+3)(r+5)(r-5))
5((r+3)(r+5)(r-5))
Remove unnecessary parentheses.
5(r+3)(r+5)(r-5)
5(r+3)(r+5)(r-5)
Factor 5r^3+15r^2-125r-375

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