Evaluate
x\left(17+9x-x^{3}\right)
Expand
17x+9x^{2}-x^{4}
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3x-x^{2}-\left(x^{3}-2x^{2}\right)\left(x+2\right)+2x\left(7+3x\right)
Use the distributive property to multiply x^{2} by x-2.
3x-x^{2}-\left(x^{4}-4x^{2}\right)+2x\left(7+3x\right)
Use the distributive property to multiply x^{3}-2x^{2} by x+2 and combine like terms.
3x-x^{2}-x^{4}+4x^{2}+2x\left(7+3x\right)
To find the opposite of x^{4}-4x^{2}, find the opposite of each term.
3x+3x^{2}-x^{4}+2x\left(7+3x\right)
Combine -x^{2} and 4x^{2} to get 3x^{2}.
3x+3x^{2}-x^{4}+14x+6x^{2}
Use the distributive property to multiply 2x by 7+3x.
17x+3x^{2}-x^{4}+6x^{2}
Combine 3x and 14x to get 17x.
17x+9x^{2}-x^{4}
Combine 3x^{2} and 6x^{2} to get 9x^{2}.
3x-x^{2}-\left(x^{3}-2x^{2}\right)\left(x+2\right)+2x\left(7+3x\right)
Use the distributive property to multiply x^{2} by x-2.
3x-x^{2}-\left(x^{4}-4x^{2}\right)+2x\left(7+3x\right)
Use the distributive property to multiply x^{3}-2x^{2} by x+2 and combine like terms.
3x-x^{2}-x^{4}+4x^{2}+2x\left(7+3x\right)
To find the opposite of x^{4}-4x^{2}, find the opposite of each term.
3x+3x^{2}-x^{4}+2x\left(7+3x\right)
Combine -x^{2} and 4x^{2} to get 3x^{2}.
3x+3x^{2}-x^{4}+14x+6x^{2}
Use the distributive property to multiply 2x by 7+3x.
17x+3x^{2}-x^{4}+6x^{2}
Combine 3x and 14x to get 17x.
17x+9x^{2}-x^{4}
Combine 3x^{2} and 6x^{2} to get 9x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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