Evaluate
\left(4-x\right)\left(x-2\right)\left(5x-7\right)
Expand
56-82x+37x^{2}-5x^{3}
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\left(20x-5x^{2}-28+7x\right)\left(x-2\right)
Apply the distributive property by multiplying each term of 5x-7 by each term of 4-x.
\left(27x-5x^{2}-28\right)\left(x-2\right)
Combine 20x and 7x to get 27x.
27x^{2}-54x-5x^{3}+10x^{2}-28x+56
Apply the distributive property by multiplying each term of 27x-5x^{2}-28 by each term of x-2.
37x^{2}-54x-5x^{3}-28x+56
Combine 27x^{2} and 10x^{2} to get 37x^{2}.
37x^{2}-82x-5x^{3}+56
Combine -54x and -28x to get -82x.
\left(20x-5x^{2}-28+7x\right)\left(x-2\right)
Apply the distributive property by multiplying each term of 5x-7 by each term of 4-x.
\left(27x-5x^{2}-28\right)\left(x-2\right)
Combine 20x and 7x to get 27x.
27x^{2}-54x-5x^{3}+10x^{2}-28x+56
Apply the distributive property by multiplying each term of 27x-5x^{2}-28 by each term of x-2.
37x^{2}-54x-5x^{3}-28x+56
Combine 27x^{2} and 10x^{2} to get 37x^{2}.
37x^{2}-82x-5x^{3}+56
Combine -54x and -28x to get -82x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}