Evaluate
255+120x-9x^{2}
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255+120x-9x^{2}
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9\left(9x^{2}+30x+25\right)-30x\left(3x+5\right)+30
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+5\right)^{2}.
81x^{2}+270x+225-30x\left(3x+5\right)+30
Use the distributive property to multiply 9 by 9x^{2}+30x+25.
81x^{2}+270x+225-90x^{2}-150x+30
Use the distributive property to multiply -30x by 3x+5.
-9x^{2}+270x+225-150x+30
Combine 81x^{2} and -90x^{2} to get -9x^{2}.
-9x^{2}+120x+225+30
Combine 270x and -150x to get 120x.
-9x^{2}+120x+255
Add 225 and 30 to get 255.
9\left(9x^{2}+30x+25\right)-30x\left(3x+5\right)+30
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+5\right)^{2}.
81x^{2}+270x+225-30x\left(3x+5\right)+30
Use the distributive property to multiply 9 by 9x^{2}+30x+25.
81x^{2}+270x+225-90x^{2}-150x+30
Use the distributive property to multiply -30x by 3x+5.
-9x^{2}+270x+225-150x+30
Combine 81x^{2} and -90x^{2} to get -9x^{2}.
-9x^{2}+120x+225+30
Combine 270x and -150x to get 120x.
-9x^{2}+120x+255
Add 225 and 30 to get 255.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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