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-\frac{7}{4x}
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-\frac{7}{4x}
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\frac{-\frac{7}{6}x}{\frac{2}{3}x^{2}}
Combine -\frac{1}{2}x and -\frac{2}{3}x to get -\frac{7}{6}x.
\frac{-\frac{7}{6}}{\frac{2}{3}x}
Cancel out x in both numerator and denominator.
\frac{-7}{6\times \frac{2}{3}x}
Express \frac{-\frac{7}{6}}{\frac{2}{3}x} as a single fraction.
\frac{-7}{4x}
Multiply 6 and \frac{2}{3} to get 4.
\frac{-\frac{7}{6}x}{\frac{2}{3}x^{2}}
Combine -\frac{1}{2}x and -\frac{2}{3}x to get -\frac{7}{6}x.
\frac{-\frac{7}{6}}{\frac{2}{3}x}
Cancel out x in both numerator and denominator.
\frac{-7}{6\times \frac{2}{3}x}
Express \frac{-\frac{7}{6}}{\frac{2}{3}x} as a single fraction.
\frac{-7}{4x}
Multiply 6 and \frac{2}{3} to get 4.
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y = 3x + 4
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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}