Evaluate
x\left(4-x\right)
Factor
x\left(4-x\right)
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-x^{2}+4x+\frac{5|0|}{2}
Combine x and -x to get 0.
-x^{2}+4x+\frac{5\times 0}{2}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0 is 0.
-x^{2}+4x+\frac{0}{2}
Multiply 5 and 0 to get 0.
-x^{2}+4x+0
Zero divided by any non-zero number gives zero.
-x^{2}+4x
Anything plus zero gives itself.
\frac{-2x^{2}+8x}{2}
Factor out \frac{1}{2}.
-2x^{2}+8x
Consider -2x^{2}+8x+5\left(x-x\right). Multiply and combine like terms.
2\left(-x^{2}+4x\right)
Consider -2x^{2}+8x. Factor out 2.
x\left(-x+4\right)
Consider -x^{2}+4x. Factor out x.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}