Evaluate
\left(x-4\right)\left(x+2\right)\left(x+6\right)
Expand
x^{3}+4x^{2}-20x-48
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\left(x^{2}+6x-4x-24\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-4 by each term of x+6.
\left(x^{2}+2x-24\right)\left(x+2\right)
Combine 6x and -4x to get 2x.
x^{3}+2x^{2}+2x^{2}+4x-24x-48
Apply the distributive property by multiplying each term of x^{2}+2x-24 by each term of x+2.
x^{3}+4x^{2}+4x-24x-48
Combine 2x^{2} and 2x^{2} to get 4x^{2}.
x^{3}+4x^{2}-20x-48
Combine 4x and -24x to get -20x.
\left(x^{2}+6x-4x-24\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-4 by each term of x+6.
\left(x^{2}+2x-24\right)\left(x+2\right)
Combine 6x and -4x to get 2x.
x^{3}+2x^{2}+2x^{2}+4x-24x-48
Apply the distributive property by multiplying each term of x^{2}+2x-24 by each term of x+2.
x^{3}+4x^{2}+4x-24x-48
Combine 2x^{2} and 2x^{2} to get 4x^{2}.
x^{3}+4x^{2}-20x-48
Combine 4x and -24x to get -20x.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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