Evaluate
\left(x-2\right)\left(x+4\right)\left(2x+1\right)-49
Expand
2x^{3}+5x^{2}-14x-57
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\left(2x^{2}-4x+x-2\right)\left(x+4\right)-49
Apply the distributive property by multiplying each term of 2x+1 by each term of x-2.
\left(2x^{2}-3x-2\right)\left(x+4\right)-49
Combine -4x and x to get -3x.
2x^{3}+8x^{2}-3x^{2}-12x-2x-8-49
Apply the distributive property by multiplying each term of 2x^{2}-3x-2 by each term of x+4.
2x^{3}+5x^{2}-12x-2x-8-49
Combine 8x^{2} and -3x^{2} to get 5x^{2}.
2x^{3}+5x^{2}-14x-8-49
Combine -12x and -2x to get -14x.
2x^{3}+5x^{2}-14x-57
Subtract 49 from -8 to get -57.
\left(2x^{2}-4x+x-2\right)\left(x+4\right)-49
Apply the distributive property by multiplying each term of 2x+1 by each term of x-2.
\left(2x^{2}-3x-2\right)\left(x+4\right)-49
Combine -4x and x to get -3x.
2x^{3}+8x^{2}-3x^{2}-12x-2x-8-49
Apply the distributive property by multiplying each term of 2x^{2}-3x-2 by each term of x+4.
2x^{3}+5x^{2}-12x-2x-8-49
Combine 8x^{2} and -3x^{2} to get 5x^{2}.
2x^{3}+5x^{2}-14x-8-49
Combine -12x and -2x to get -14x.
2x^{3}+5x^{2}-14x-57
Subtract 49 from -8 to get -57.
Examples
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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}