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5x^{2}+31x-33
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5x^{2}+31x-33
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10x^{2}-4x-5x\left(x-4\right)-3\left(-5x+11\right)
Use the distributive property to multiply 2x by 5x-2.
10x^{2}-4x-5x\left(x-4\right)+15x-33
Use the distributive property to multiply -3 by -5x+11.
10x^{2}-4x-5x^{2}+20x+15x-33
Use the distributive property to multiply -5x by x-4.
5x^{2}-4x+20x+15x-33
Combine 10x^{2} and -5x^{2} to get 5x^{2}.
5x^{2}+16x+15x-33
Combine -4x and 20x to get 16x.
5x^{2}+31x-33
Combine 16x and 15x to get 31x.
10x^{2}-4x-5x\left(x-4\right)-3\left(-5x+11\right)
Use the distributive property to multiply 2x by 5x-2.
10x^{2}-4x-5x\left(x-4\right)+15x-33
Use the distributive property to multiply -3 by -5x+11.
10x^{2}-4x-5x^{2}+20x+15x-33
Use the distributive property to multiply -5x by x-4.
5x^{2}-4x+20x+15x-33
Combine 10x^{2} and -5x^{2} to get 5x^{2}.
5x^{2}+16x+15x-33
Combine -4x and 20x to get 16x.
5x^{2}+31x-33
Combine 16x and 15x to get 31x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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