Evaluate
\frac{3x\left(4-x\right)}{8}
Factor
\frac{3x\left(4-x\right)}{8}
Graph
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\frac{3}{2}x-3-\frac{3}{8}x^{2}+3
Combine \frac{3}{4}x and \frac{3}{4}x to get \frac{3}{2}x.
\frac{3}{2}x-\frac{3}{8}x^{2}
Add -3 and 3 to get 0.
\frac{3\left(4x-x^{2}\right)}{8}
Factor out \frac{3}{8}.
-x^{2}+4x
Consider 2x-8-x^{2}+2x+8. Multiply and combine like terms.
x\left(-x+4\right)
Consider -x^{2}+4x. Factor out x.
\frac{3x\left(-x+4\right)}{8}
Rewrite the complete factored expression.
Examples
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Linear equation
y = 3x + 4
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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
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