Evaluate
2\left(x^{2}+9\right)
Expand
2x^{2}+18
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x^{2}-6x+9+\left(x+3\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{2}-6x+9+x^{2}+6x+9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
2x^{2}-6x+9+6x+9
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+9+9
Combine -6x and 6x to get 0.
2x^{2}+18
Add 9 and 9 to get 18.
x^{2}-6x+9+\left(x+3\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{2}-6x+9+x^{2}+6x+9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
2x^{2}-6x+9+6x+9
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+9+9
Combine -6x and 6x to get 0.
2x^{2}+18
Add 9 and 9 to get 18.
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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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