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\frac{15}{2\times 1-3}=\frac{10}{4\times 1\times 1\times 5}
Multiply 2 and 1 to get 2.
\frac{15}{2-3}=\frac{10}{4\times 1\times 1\times 5}
Multiply 2 and 1 to get 2.
\frac{15}{-1}=\frac{10}{4\times 1\times 1\times 5}
Subtract 3 from 2 to get -1.
-15=\frac{10}{4\times 1\times 1\times 5}
Fraction \frac{15}{-1} can be rewritten as -15 by extracting the negative sign.
-15=\frac{10}{4\times 1\times 5}
Multiply 4 and 1 to get 4.
-15=\frac{10}{4\times 5}
Multiply 4 and 1 to get 4.
-15=\frac{10}{20}
Multiply 4 and 5 to get 20.
-15=\frac{1}{2}
Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.
-\frac{30}{2}=\frac{1}{2}
Convert -15 to fraction -\frac{30}{2}.
\text{false}
Compare -\frac{30}{2} and \frac{1}{2}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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]
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\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}