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67x^{2}-65y+58
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67x^{2}-65y+58
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27x^{2}-45y+63-5\left(4y-8x^{2}+1\right)
Use the distributive property to multiply 9 by 3x^{2}-5y+7.
27x^{2}-45y+63-20y+40x^{2}-5
Use the distributive property to multiply -5 by 4y-8x^{2}+1.
27x^{2}-65y+63+40x^{2}-5
Combine -45y and -20y to get -65y.
67x^{2}-65y+63-5
Combine 27x^{2} and 40x^{2} to get 67x^{2}.
67x^{2}-65y+58
Subtract 5 from 63 to get 58.
27x^{2}-45y+63-5\left(4y-8x^{2}+1\right)
Use the distributive property to multiply 9 by 3x^{2}-5y+7.
27x^{2}-45y+63-20y+40x^{2}-5
Use the distributive property to multiply -5 by 4y-8x^{2}+1.
27x^{2}-65y+63+40x^{2}-5
Combine -45y and -20y to get -65y.
67x^{2}-65y+63-5
Combine 27x^{2} and 40x^{2} to get 67x^{2}.
67x^{2}-65y+58
Subtract 5 from 63 to get 58.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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