Evaluate
\left(x-2\right)\left(2x-3\right)\left(x+4\right)
Expand
2x^{3}+x^{2}-22x+24
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\left(x^{2}-2x+4x-8\right)\left(2x-3\right)
Apply the distributive property by multiplying each term of x+4 by each term of x-2.
\left(x^{2}+2x-8\right)\left(2x-3\right)
Combine -2x and 4x to get 2x.
2x^{3}-3x^{2}+4x^{2}-6x-16x+24
Apply the distributive property by multiplying each term of x^{2}+2x-8 by each term of 2x-3.
2x^{3}+x^{2}-6x-16x+24
Combine -3x^{2} and 4x^{2} to get x^{2}.
2x^{3}+x^{2}-22x+24
Combine -6x and -16x to get -22x.
\left(x^{2}-2x+4x-8\right)\left(2x-3\right)
Apply the distributive property by multiplying each term of x+4 by each term of x-2.
\left(x^{2}+2x-8\right)\left(2x-3\right)
Combine -2x and 4x to get 2x.
2x^{3}-3x^{2}+4x^{2}-6x-16x+24
Apply the distributive property by multiplying each term of x^{2}+2x-8 by each term of 2x-3.
2x^{3}+x^{2}-6x-16x+24
Combine -3x^{2} and 4x^{2} to get x^{2}.
2x^{3}+x^{2}-22x+24
Combine -6x and -16x to get -22x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}