Evaluate
\left(x-3\right)^{2}+24
Expand
x^{2}-6x+33
Graph
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2^{2}\left(\sqrt{6}\right)^{2}+\left(x-3\right)^{2}
Expand \left(2\sqrt{6}\right)^{2}.
4\left(\sqrt{6}\right)^{2}+\left(x-3\right)^{2}
Calculate 2 to the power of 2 and get 4.
4\times 6+\left(x-3\right)^{2}
The square of \sqrt{6} is 6.
24+\left(x-3\right)^{2}
Multiply 4 and 6 to get 24.
24+x^{2}-6x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
33+x^{2}-6x
Add 24 and 9 to get 33.
2^{2}\left(\sqrt{6}\right)^{2}+\left(x-3\right)^{2}
Expand \left(2\sqrt{6}\right)^{2}.
4\left(\sqrt{6}\right)^{2}+\left(x-3\right)^{2}
Calculate 2 to the power of 2 and get 4.
4\times 6+\left(x-3\right)^{2}
The square of \sqrt{6} is 6.
24+\left(x-3\right)^{2}
Multiply 4 and 6 to get 24.
24+x^{2}-6x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
33+x^{2}-6x
Add 24 and 9 to get 33.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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