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75-25x
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75-25x
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3\left(x^{2}-10x+25\right)-x\left(3x-5\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{2}-30x+75-x\left(3x-5\right)
Use the distributive property to multiply 3 by x^{2}-10x+25.
3x^{2}-30x+75-\left(3x^{2}-5x\right)
Use the distributive property to multiply x by 3x-5.
3x^{2}-30x+75-3x^{2}+5x
To find the opposite of 3x^{2}-5x, find the opposite of each term.
-30x+75+5x
Combine 3x^{2} and -3x^{2} to get 0.
-25x+75
Combine -30x and 5x to get -25x.
3\left(x^{2}-10x+25\right)-x\left(3x-5\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{2}-30x+75-x\left(3x-5\right)
Use the distributive property to multiply 3 by x^{2}-10x+25.
3x^{2}-30x+75-\left(3x^{2}-5x\right)
Use the distributive property to multiply x by 3x-5.
3x^{2}-30x+75-3x^{2}+5x
To find the opposite of 3x^{2}-5x, find the opposite of each term.
-30x+75+5x
Combine 3x^{2} and -3x^{2} to get 0.
-25x+75
Combine -30x and 5x to get -25x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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