Evaluate
18x^{2}-60x+100
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18x^{2}-60x+100
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100-60x+9x^{2}+\left(3x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(10-3x\right)^{2}.
100-60x+9x^{2}+3^{2}x^{2}
Expand \left(3x\right)^{2}.
100-60x+9x^{2}+9x^{2}
Calculate 3 to the power of 2 and get 9.
100-60x+18x^{2}
Combine 9x^{2} and 9x^{2} to get 18x^{2}.
100-60x+9x^{2}+\left(3x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(10-3x\right)^{2}.
100-60x+9x^{2}+3^{2}x^{2}
Expand \left(3x\right)^{2}.
100-60x+9x^{2}+9x^{2}
Calculate 3 to the power of 2 and get 9.
100-60x+18x^{2}
Combine 9x^{2} and 9x^{2} to get 18x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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