Evaluate
\left(x-3\right)\left(x-2\right)\left(x-1\right)-16
Expand
x^{3}-6x^{2}+11x-22
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\left(x^{2}-2x-x+2\right)\left(x-3\right)-16
Apply the distributive property by multiplying each term of x-1 by each term of x-2.
\left(x^{2}-3x+2\right)\left(x-3\right)-16
Combine -2x and -x to get -3x.
x^{3}-3x^{2}-3x^{2}+9x+2x-6-16
Apply the distributive property by multiplying each term of x^{2}-3x+2 by each term of x-3.
x^{3}-6x^{2}+9x+2x-6-16
Combine -3x^{2} and -3x^{2} to get -6x^{2}.
x^{3}-6x^{2}+11x-6-16
Combine 9x and 2x to get 11x.
x^{3}-6x^{2}+11x-22
Subtract 16 from -6 to get -22.
\left(x^{2}-2x-x+2\right)\left(x-3\right)-16
Apply the distributive property by multiplying each term of x-1 by each term of x-2.
\left(x^{2}-3x+2\right)\left(x-3\right)-16
Combine -2x and -x to get -3x.
x^{3}-3x^{2}-3x^{2}+9x+2x-6-16
Apply the distributive property by multiplying each term of x^{2}-3x+2 by each term of x-3.
x^{3}-6x^{2}+9x+2x-6-16
Combine -3x^{2} and -3x^{2} to get -6x^{2}.
x^{3}-6x^{2}+11x-6-16
Combine 9x and 2x to get 11x.
x^{3}-6x^{2}+11x-22
Subtract 16 from -6 to get -22.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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