Evaluate
\left(x-3\right)\left(x-2\right)\left(x+4\right)
Expand
x^{3}-x^{2}-14x+24
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\left(x^{2}-3x-2x+6\right)\left(x+4\right)
Apply the distributive property by multiplying each term of x-2 by each term of x-3.
\left(x^{2}-5x+6\right)\left(x+4\right)
Combine -3x and -2x to get -5x.
x^{3}+4x^{2}-5x^{2}-20x+6x+24
Apply the distributive property by multiplying each term of x^{2}-5x+6 by each term of x+4.
x^{3}-x^{2}-20x+6x+24
Combine 4x^{2} and -5x^{2} to get -x^{2}.
x^{3}-x^{2}-14x+24
Combine -20x and 6x to get -14x.
\left(x^{2}-3x-2x+6\right)\left(x+4\right)
Apply the distributive property by multiplying each term of x-2 by each term of x-3.
\left(x^{2}-5x+6\right)\left(x+4\right)
Combine -3x and -2x to get -5x.
x^{3}+4x^{2}-5x^{2}-20x+6x+24
Apply the distributive property by multiplying each term of x^{2}-5x+6 by each term of x+4.
x^{3}-x^{2}-20x+6x+24
Combine 4x^{2} and -5x^{2} to get -x^{2}.
x^{3}-x^{2}-14x+24
Combine -20x and 6x to get -14x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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