Evaluate
35+4x-15x^{2}
Expand
35+4x-15x^{2}
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9x^{2}-30x+25-\left(4x+1\right)\left(6x-10\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-5\right)^{2}.
9x^{2}-30x+25-\left(24x^{2}-34x-10\right)
Use the distributive property to multiply 4x+1 by 6x-10 and combine like terms.
9x^{2}-30x+25-24x^{2}+34x+10
To find the opposite of 24x^{2}-34x-10, find the opposite of each term.
-15x^{2}-30x+25+34x+10
Combine 9x^{2} and -24x^{2} to get -15x^{2}.
-15x^{2}+4x+25+10
Combine -30x and 34x to get 4x.
-15x^{2}+4x+35
Add 25 and 10 to get 35.
9x^{2}-30x+25-\left(4x+1\right)\left(6x-10\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-5\right)^{2}.
9x^{2}-30x+25-\left(24x^{2}-34x-10\right)
Use the distributive property to multiply 4x+1 by 6x-10 and combine like terms.
9x^{2}-30x+25-24x^{2}+34x+10
To find the opposite of 24x^{2}-34x-10, find the opposite of each term.
-15x^{2}-30x+25+34x+10
Combine 9x^{2} and -24x^{2} to get -15x^{2}.
-15x^{2}+4x+25+10
Combine -30x and 34x to get 4x.
-15x^{2}+4x+35
Add 25 and 10 to get 35.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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