Evaluate
\frac{\left(x-10000\right)\left(x-5000\right)}{40}
Expand
\frac{x^{2}}{40}-375x+1250000
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\left(0.25x+1250-0.5x\right)\left(-0.1x+1000\right)
Use the distributive property to multiply 0.5 by 2500-x.
\left(-0.25x+1250\right)\left(-0.1x+1000\right)
Combine 0.25x and -0.5x to get -0.25x.
0.025x^{2}-250x-125x+1250000
Apply the distributive property by multiplying each term of -0.25x+1250 by each term of -0.1x+1000.
0.025x^{2}-375x+1250000
Combine -250x and -125x to get -375x.
\left(0.25x+1250-0.5x\right)\left(-0.1x+1000\right)
Use the distributive property to multiply 0.5 by 2500-x.
\left(-0.25x+1250\right)\left(-0.1x+1000\right)
Combine 0.25x and -0.5x to get -0.25x.
0.025x^{2}-250x-125x+1250000
Apply the distributive property by multiplying each term of -0.25x+1250 by each term of -0.1x+1000.
0.025x^{2}-375x+1250000
Combine -250x and -125x to get -375x.
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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}