Problem

Question

Factor completely.
\[
x^{3}+6 x^{2}-3 x-18
\]

Answer

Expert–verified

Hide Steps

Answer

\(\boxed{(x+6)(x^{2}-3)}\)

Steps

Step 1 ：Factor out the greatest common factor from each pair: \(x^{2}(x+6)-3(x+6)\)

Step 2 ：Factor out the common factor \((x+6)\): \((x+6)(x^{2}-3)\)

Step 3 ：\(\boxed{(x+6)(x^{2}-3)}\)

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