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10p^{2}-26p+29
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10p^{2}-26p+29
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9p^{2}-30p+25+\left(p+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3p-5\right)^{2}.
9p^{2}-30p+25+p^{2}+4p+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(p+2\right)^{2}.
10p^{2}-30p+25+4p+4
Combine 9p^{2} and p^{2} to get 10p^{2}.
10p^{2}-26p+25+4
Combine -30p and 4p to get -26p.
10p^{2}-26p+29
Add 25 and 4 to get 29.
9p^{2}-30p+25+\left(p+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3p-5\right)^{2}.
9p^{2}-30p+25+p^{2}+4p+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(p+2\right)^{2}.
10p^{2}-30p+25+4p+4
Combine 9p^{2} and p^{2} to get 10p^{2}.
10p^{2}-26p+25+4
Combine -30p and 4p to get -26p.
10p^{2}-26p+29
Add 25 and 4 to get 29.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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