Evaluate
x^{3}+6x^{2}-30x+8
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x^{3}+6x^{2}-30x+8
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x^{3}+2x^{2}-6x+4\left(x^{2}-6x+2\right)
Use the distributive property to multiply x by x^{2}+2x-6.
x^{3}+2x^{2}-6x+4x^{2}-24x+8
Use the distributive property to multiply 4 by x^{2}-6x+2.
x^{3}+6x^{2}-6x-24x+8
Combine 2x^{2} and 4x^{2} to get 6x^{2}.
x^{3}+6x^{2}-30x+8
Combine -6x and -24x to get -30x.
x^{3}+2x^{2}-6x+4\left(x^{2}-6x+2\right)
Use the distributive property to multiply x by x^{2}+2x-6.
x^{3}+2x^{2}-6x+4x^{2}-24x+8
Use the distributive property to multiply 4 by x^{2}-6x+2.
x^{3}+6x^{2}-6x-24x+8
Combine 2x^{2} and 4x^{2} to get 6x^{2}.
x^{3}+6x^{2}-30x+8
Combine -6x and -24x to get -30x.
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