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\frac{13yx^{2}}{3}
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\frac{13yx^{2}}{3}
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\left(\frac{14}{3}x+x\right)\left(\frac{7}{3}xy-\frac{5}{6}xy-xy\right)-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine -\frac{11}{6}x and \frac{13}{2}x to get \frac{14}{3}x.
\frac{17}{3}x\left(\frac{7}{3}xy-\frac{5}{6}xy-xy\right)-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine \frac{14}{3}x and x to get \frac{17}{3}x.
\frac{17}{3}x\left(\frac{3}{2}xy-xy\right)-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine \frac{7}{3}xy and -\frac{5}{6}xy to get \frac{3}{2}xy.
\frac{17}{3}x\times \frac{1}{2}xy-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine \frac{3}{2}xy and -xy to get \frac{1}{2}xy.
\frac{17\times 1}{3\times 2}xxy-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Multiply \frac{17}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{17}{6}xxy-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Do the multiplications in the fraction \frac{17\times 1}{3\times 2}.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Multiply x and x to get x^{2}.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(-\frac{27}{10}x+\frac{6}{10}x\right)
Combine \frac{4}{5}x and -\frac{7}{2}x to get -\frac{27}{10}x.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(-\frac{27}{10}x+\frac{3}{5}x\right)
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(-\frac{21}{10}\right)x
Combine -\frac{27}{10}x and \frac{3}{5}x to get -\frac{21}{10}x.
\frac{17}{6}x^{2}y-\frac{5\left(-21\right)}{7\times 10}xyx
Multiply \frac{5}{7} times -\frac{21}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{17}{6}x^{2}y-\frac{-105}{70}xyx
Do the multiplications in the fraction \frac{5\left(-21\right)}{7\times 10}.
\frac{17}{6}x^{2}y-\left(-\frac{3}{2}xyx\right)
Reduce the fraction \frac{-105}{70} to lowest terms by extracting and canceling out 35.
\frac{17}{6}x^{2}y-\left(-\frac{3}{2}x^{2}y\right)
Multiply x and x to get x^{2}.
\frac{17}{6}x^{2}y+\frac{3}{2}x^{2}y
The opposite of -\frac{3}{2}x^{2}y is \frac{3}{2}x^{2}y.
\frac{13}{3}x^{2}y
Combine \frac{17}{6}x^{2}y and \frac{3}{2}x^{2}y to get \frac{13}{3}x^{2}y.
\left(\frac{14}{3}x+x\right)\left(\frac{7}{3}xy-\frac{5}{6}xy-xy\right)-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine -\frac{11}{6}x and \frac{13}{2}x to get \frac{14}{3}x.
\frac{17}{3}x\left(\frac{7}{3}xy-\frac{5}{6}xy-xy\right)-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine \frac{14}{3}x and x to get \frac{17}{3}x.
\frac{17}{3}x\left(\frac{3}{2}xy-xy\right)-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine \frac{7}{3}xy and -\frac{5}{6}xy to get \frac{3}{2}xy.
\frac{17}{3}x\times \frac{1}{2}xy-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Combine \frac{3}{2}xy and -xy to get \frac{1}{2}xy.
\frac{17\times 1}{3\times 2}xxy-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Multiply \frac{17}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{17}{6}xxy-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Do the multiplications in the fraction \frac{17\times 1}{3\times 2}.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(\frac{4}{5}x-\frac{7}{2}x+\frac{6}{10}x\right)
Multiply x and x to get x^{2}.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(-\frac{27}{10}x+\frac{6}{10}x\right)
Combine \frac{4}{5}x and -\frac{7}{2}x to get -\frac{27}{10}x.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(-\frac{27}{10}x+\frac{3}{5}x\right)
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{17}{6}x^{2}y-\frac{5}{7}xy\left(-\frac{21}{10}\right)x
Combine -\frac{27}{10}x and \frac{3}{5}x to get -\frac{21}{10}x.
\frac{17}{6}x^{2}y-\frac{5\left(-21\right)}{7\times 10}xyx
Multiply \frac{5}{7} times -\frac{21}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{17}{6}x^{2}y-\frac{-105}{70}xyx
Do the multiplications in the fraction \frac{5\left(-21\right)}{7\times 10}.
\frac{17}{6}x^{2}y-\left(-\frac{3}{2}xyx\right)
Reduce the fraction \frac{-105}{70} to lowest terms by extracting and canceling out 35.
\frac{17}{6}x^{2}y-\left(-\frac{3}{2}x^{2}y\right)
Multiply x and x to get x^{2}.
\frac{17}{6}x^{2}y+\frac{3}{2}x^{2}y
The opposite of -\frac{3}{2}x^{2}y is \frac{3}{2}x^{2}y.
\frac{13}{3}x^{2}y
Combine \frac{17}{6}x^{2}y and \frac{3}{2}x^{2}y to get \frac{13}{3}x^{2}y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}