Evaluate
\frac{x\left(1-5x\right)}{2}
Expand
\frac{x-5x^{2}}{2}
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\left(-5x+1\right)\times \frac{1}{2}x
Multiply \frac{1}{2} and 1 to get \frac{1}{2}.
\left(-5x\times \frac{1}{2}+\frac{1}{2}\right)x
Use the distributive property to multiply -5x+1 by \frac{1}{2}.
\left(\frac{-5}{2}x+\frac{1}{2}\right)x
Multiply -5 and \frac{1}{2} to get \frac{-5}{2}.
\left(-\frac{5}{2}x+\frac{1}{2}\right)x
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
-\frac{5}{2}xx+\frac{1}{2}x
Use the distributive property to multiply -\frac{5}{2}x+\frac{1}{2} by x.
-\frac{5}{2}x^{2}+\frac{1}{2}x
Multiply x and x to get x^{2}.
\left(-5x+1\right)\times \frac{1}{2}x
Multiply \frac{1}{2} and 1 to get \frac{1}{2}.
\left(-5x\times \frac{1}{2}+\frac{1}{2}\right)x
Use the distributive property to multiply -5x+1 by \frac{1}{2}.
\left(\frac{-5}{2}x+\frac{1}{2}\right)x
Multiply -5 and \frac{1}{2} to get \frac{-5}{2}.
\left(-\frac{5}{2}x+\frac{1}{2}\right)x
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
-\frac{5}{2}xx+\frac{1}{2}x
Use the distributive property to multiply -\frac{5}{2}x+\frac{1}{2} by x.
-\frac{5}{2}x^{2}+\frac{1}{2}x
Multiply x and x to get x^{2}.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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