Evaluate
\frac{55x^{2}}{2}+38x+21
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\frac{55x^{2}}{2}+38x+21
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5x^{2}-15x-7x+21+7.5x\left(3x+8\right)
Apply the distributive property by multiplying each term of 5x-7 by each term of x-3.
5x^{2}-22x+21+7.5x\left(3x+8\right)
Combine -15x and -7x to get -22x.
5x^{2}-22x+21+22.5x^{2}+60x
Use the distributive property to multiply 7.5x by 3x+8.
27.5x^{2}-22x+21+60x
Combine 5x^{2} and 22.5x^{2} to get 27.5x^{2}.
27.5x^{2}+38x+21
Combine -22x and 60x to get 38x.
5x^{2}-15x-7x+21+7.5x\left(3x+8\right)
Apply the distributive property by multiplying each term of 5x-7 by each term of x-3.
5x^{2}-22x+21+7.5x\left(3x+8\right)
Combine -15x and -7x to get -22x.
5x^{2}-22x+21+22.5x^{2}+60x
Use the distributive property to multiply 7.5x by 3x+8.
27.5x^{2}-22x+21+60x
Combine 5x^{2} and 22.5x^{2} to get 27.5x^{2}.
27.5x^{2}+38x+21
Combine -22x and 60x to get 38x.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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