Evaluate
\left(x-3\right)\left(x+1\right)\left(x+8\right)
Expand
x^{3}+6x^{2}-19x-24
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\left(x^{2}-3x+x-3\right)\left(x+8\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-3.
\left(x^{2}-2x-3\right)\left(x+8\right)
Combine -3x and x to get -2x.
x^{3}+8x^{2}-2x^{2}-16x-3x-24
Apply the distributive property by multiplying each term of x^{2}-2x-3 by each term of x+8.
x^{3}+6x^{2}-16x-3x-24
Combine 8x^{2} and -2x^{2} to get 6x^{2}.
x^{3}+6x^{2}-19x-24
Combine -16x and -3x to get -19x.
\left(x^{2}-3x+x-3\right)\left(x+8\right)
Apply the distributive property by multiplying each term of x+1 by each term of x-3.
\left(x^{2}-2x-3\right)\left(x+8\right)
Combine -3x and x to get -2x.
x^{3}+8x^{2}-2x^{2}-16x-3x-24
Apply the distributive property by multiplying each term of x^{2}-2x-3 by each term of x+8.
x^{3}+6x^{2}-16x-3x-24
Combine 8x^{2} and -2x^{2} to get 6x^{2}.
x^{3}+6x^{2}-19x-24
Combine -16x and -3x to get -19x.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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