Evaluate
120+111x-27x^{2}
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120+111x-27x^{2}
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\left(3\left(-x\right)+15\right)\left(9x+8\right)
Use the distributive property to multiply 3 by -x+5.
27\left(-x\right)x+24\left(-x\right)+135x+120
Apply the distributive property by multiplying each term of 3\left(-x\right)+15 by each term of 9x+8.
-27xx+24\left(-1\right)x+135x+120
Multiply 27 and -1 to get -27.
-27x^{2}+24\left(-1\right)x+135x+120
Multiply x and x to get x^{2}.
-27x^{2}-24x+135x+120
Multiply 24 and -1 to get -24.
-27x^{2}+111x+120
Combine -24x and 135x to get 111x.
\left(3\left(-x\right)+15\right)\left(9x+8\right)
Use the distributive property to multiply 3 by -x+5.
27\left(-x\right)x+24\left(-x\right)+135x+120
Apply the distributive property by multiplying each term of 3\left(-x\right)+15 by each term of 9x+8.
-27xx+24\left(-1\right)x+135x+120
Multiply 27 and -1 to get -27.
-27x^{2}+24\left(-1\right)x+135x+120
Multiply x and x to get x^{2}.
-27x^{2}-24x+135x+120
Multiply 24 and -1 to get -24.
-27x^{2}+111x+120
Combine -24x and 135x to get 111x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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