Evaluate
9x^{3}+24x^{2}-18x+47
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9x^{3}+24x^{2}-18x+47
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9x^{3}-54x+54+4\left(6x^{2}+9x\right)-7
Use the distributive property to multiply 9 by x^{3}-6x+6.
9x^{3}-54x+54+24x^{2}+36x-7
Use the distributive property to multiply 4 by 6x^{2}+9x.
9x^{3}-18x+54+24x^{2}-7
Combine -54x and 36x to get -18x.
9x^{3}-18x+47+24x^{2}
Subtract 7 from 54 to get 47.
9x^{3}-54x+54+4\left(6x^{2}+9x\right)-7
Use the distributive property to multiply 9 by x^{3}-6x+6.
9x^{3}-54x+54+24x^{2}+36x-7
Use the distributive property to multiply 4 by 6x^{2}+9x.
9x^{3}-18x+54+24x^{2}-7
Combine -54x and 36x to get -18x.
9x^{3}-18x+47+24x^{2}
Subtract 7 from 54 to get 47.
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