Evaluate
2\left(3-10x\right)\left(x^{2}-2x+3\right)
Expand
18-72x+46x^{2}-20x^{3}
Graph
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\left(x^{2}-2x+3\right)\left(-20x+6\right)
Multiply 4 and -5 to get -20.
-20x^{3}+46x^{2}-72x+18
Use the distributive property to multiply x^{2}-2x+3 by -20x+6 and combine like terms.
\left(x^{2}-2x+3\right)\left(-20x+6\right)
Multiply 4 and -5 to get -20.
-20x^{3}+46x^{2}-72x+18
Use the distributive property to multiply x^{2}-2x+3 by -20x+6 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}