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13x^{2}+6x+10
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13x^{2}+6x+10
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4x^{2}+12x+9+\left(3x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9+9x^{2}-6x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-1\right)^{2}.
13x^{2}+12x+9-6x+1
Combine 4x^{2} and 9x^{2} to get 13x^{2}.
13x^{2}+6x+9+1
Combine 12x and -6x to get 6x.
13x^{2}+6x+10
Add 9 and 1 to get 10.
4x^{2}+12x+9+\left(3x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+3\right)^{2}.
4x^{2}+12x+9+9x^{2}-6x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-1\right)^{2}.
13x^{2}+12x+9-6x+1
Combine 4x^{2} and 9x^{2} to get 13x^{2}.
13x^{2}+6x+9+1
Combine 12x and -6x to get 6x.
13x^{2}+6x+10
Add 9 and 1 to get 10.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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