Evaluate
3\left(x-1\right)\left(x+3\right)
Expand
3x^{2}+6x-9
Graph
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3\left(x^{2}+2x+1\right)-12
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
3x^{2}+6x+3-12
Use the distributive property to multiply 3 by x^{2}+2x+1.
3x^{2}+6x-9
Subtract 12 from 3 to get -9.
3\left(x^{2}+2x+1\right)-12
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
3x^{2}+6x+3-12
Use the distributive property to multiply 3 by x^{2}+2x+1.
3x^{2}+6x-9
Subtract 12 from 3 to get -9.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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