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\frac{7}{4}+\frac{3}{0-4}=\frac{3\times 0+8}{0^{2}-76}
Add 0 and 4 to get 4.
\frac{7}{4}+\frac{3}{-4}=\frac{3\times 0+8}{0^{2}-76}
Subtract 4 from 0 to get -4.
\frac{7}{4}-\frac{3}{4}=\frac{3\times 0+8}{0^{2}-76}
Fraction \frac{3}{-4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
\frac{7-3}{4}=\frac{3\times 0+8}{0^{2}-76}
Since \frac{7}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{4}=\frac{3\times 0+8}{0^{2}-76}
Subtract 3 from 7 to get 4.
1=\frac{3\times 0+8}{0^{2}-76}
Divide 4 by 4 to get 1.
1=\frac{0+8}{0^{2}-76}
Multiply 3 and 0 to get 0.
1=\frac{8}{0^{2}-76}
Add 0 and 8 to get 8.
1=\frac{8}{0-76}
Calculate 0 to the power of 2 and get 0.
1=\frac{8}{-76}
Subtract 76 from 0 to get -76.
1=-\frac{2}{19}
Reduce the fraction \frac{8}{-76} to lowest terms by extracting and canceling out 4.
\frac{19}{19}=-\frac{2}{19}
Convert 1 to fraction \frac{19}{19}.
\text{false}
Compare \frac{19}{19} and -\frac{2}{19}.
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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
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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}