Evaluate
\frac{5\left(x-2\right)^{2}}{2}
Expand
\frac{5x^{2}}{2}-10x+10
Graph
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\frac{5}{2}\left(x^{2}-4x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
\frac{5}{2}x^{2}-10x+10
Use the distributive property to multiply \frac{5}{2} by x^{2}-4x+4.
\frac{5}{2}\left(x^{2}-4x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
\frac{5}{2}x^{2}-10x+10
Use the distributive property to multiply \frac{5}{2} by x^{2}-4x+4.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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