Expand
5x^{2}-20x+21
Evaluate
5\left(x-2\right)^{2}+1
Graph
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5\left(x^{2}-4x+4\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
5x^{2}-20x+20+1
Use the distributive property to multiply 5 by x^{2}-4x+4.
5x^{2}-20x+21
Add 20 and 1 to get 21.
5\left(x^{2}-4x+4\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
5x^{2}-20x+20+1
Use the distributive property to multiply 5 by x^{2}-4x+4.
5x^{2}-20x+21
Add 20 and 1 to get 21.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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