Evaluate
x\left(10x^{2}+27x-18\right)
Expand
10x^{3}+27x^{2}-18x
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10x^{3}+15x^{2}+6x\left(2x-3\right)
Use the distributive property to multiply 5x^{2} by 2x+3.
10x^{3}+15x^{2}+12x^{2}-18x
Use the distributive property to multiply 6x by 2x-3.
10x^{3}+27x^{2}-18x
Combine 15x^{2} and 12x^{2} to get 27x^{2}.
10x^{3}+15x^{2}+6x\left(2x-3\right)
Use the distributive property to multiply 5x^{2} by 2x+3.
10x^{3}+15x^{2}+12x^{2}-18x
Use the distributive property to multiply 6x by 2x-3.
10x^{3}+27x^{2}-18x
Combine 15x^{2} and 12x^{2} to get 27x^{2}.
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