Evaluate
\frac{34x}{3}-\frac{113}{9}+\frac{16}{9x}
Expand
\frac{34x}{3}-\frac{113}{9}+\frac{16}{9x}
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\frac{6x-1}{3}\times \frac{17x-16}{3x}
Add 2 and 1 to get 3.
\frac{\left(6x-1\right)\left(17x-16\right)}{3\times 3x}
Multiply \frac{6x-1}{3} times \frac{17x-16}{3x} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(6x-1\right)\left(17x-16\right)}{9x}
Multiply 3 and 3 to get 9.
\frac{102x^{2}-96x-17x+16}{9x}
Apply the distributive property by multiplying each term of 6x-1 by each term of 17x-16.
\frac{102x^{2}-113x+16}{9x}
Combine -96x and -17x to get -113x.
\frac{6x-1}{3}\times \frac{17x-16}{3x}
Add 2 and 1 to get 3.
\frac{\left(6x-1\right)\left(17x-16\right)}{3\times 3x}
Multiply \frac{6x-1}{3} times \frac{17x-16}{3x} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(6x-1\right)\left(17x-16\right)}{9x}
Multiply 3 and 3 to get 9.
\frac{102x^{2}-96x-17x+16}{9x}
Apply the distributive property by multiplying each term of 6x-1 by each term of 17x-16.
\frac{102x^{2}-113x+16}{9x}
Combine -96x and -17x to get -113x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}