Evaluate
x\left(6-5x\right)
Expand
6x-5x^{2}
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2x^{3}-6x^{2}+6x-x^{2}\left(2x-1\right)
Use the distributive property to multiply 2x by x^{2}-3x+3.
2x^{3}-6x^{2}+6x-\left(2x^{3}-x^{2}\right)
Use the distributive property to multiply x^{2} by 2x-1.
2x^{3}-6x^{2}+6x-2x^{3}+x^{2}
To find the opposite of 2x^{3}-x^{2}, find the opposite of each term.
-6x^{2}+6x+x^{2}
Combine 2x^{3} and -2x^{3} to get 0.
-5x^{2}+6x
Combine -6x^{2} and x^{2} to get -5x^{2}.
2x^{3}-6x^{2}+6x-x^{2}\left(2x-1\right)
Use the distributive property to multiply 2x by x^{2}-3x+3.
2x^{3}-6x^{2}+6x-\left(2x^{3}-x^{2}\right)
Use the distributive property to multiply x^{2} by 2x-1.
2x^{3}-6x^{2}+6x-2x^{3}+x^{2}
To find the opposite of 2x^{3}-x^{2}, find the opposite of each term.
-6x^{2}+6x+x^{2}
Combine 2x^{3} and -2x^{3} to get 0.
-5x^{2}+6x
Combine -6x^{2} and x^{2} to get -5x^{2}.
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