Evaluate
\left(x-4\right)\left(x+1\right)\left(2x+3\right)
Expand
2x^{3}-3x^{2}-17x-12
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\left(2x^{2}+3x+2x+3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x+1 by each term of 2x+3.
\left(2x^{2}+5x+3\right)\left(x-4\right)
Combine 3x and 2x to get 5x.
2x^{3}-8x^{2}+5x^{2}-20x+3x-12
Apply the distributive property by multiplying each term of 2x^{2}+5x+3 by each term of x-4.
2x^{3}-3x^{2}-20x+3x-12
Combine -8x^{2} and 5x^{2} to get -3x^{2}.
2x^{3}-3x^{2}-17x-12
Combine -20x and 3x to get -17x.
\left(2x^{2}+3x+2x+3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of x+1 by each term of 2x+3.
\left(2x^{2}+5x+3\right)\left(x-4\right)
Combine 3x and 2x to get 5x.
2x^{3}-8x^{2}+5x^{2}-20x+3x-12
Apply the distributive property by multiplying each term of 2x^{2}+5x+3 by each term of x-4.
2x^{3}-3x^{2}-20x+3x-12
Combine -8x^{2} and 5x^{2} to get -3x^{2}.
2x^{3}-3x^{2}-17x-12
Combine -20x and 3x to get -17x.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}