Evaluate
3\left(x-1\right)^{2}+5
Expand
3x^{2}-6x+8
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3\left(x^{2}-2x+1\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
3x^{2}-6x+3+5
Use the distributive property to multiply 3 by x^{2}-2x+1.
3x^{2}-6x+8
Add 3 and 5 to get 8.
3\left(x^{2}-2x+1\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
3x^{2}-6x+3+5
Use the distributive property to multiply 3 by x^{2}-2x+1.
3x^{2}-6x+8
Add 3 and 5 to get 8.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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