Evaluate
-\frac{1}{3}\approx -0.333333333
Factor
-\frac{1}{3} = -0.3333333333333333
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\frac{3}{10}\left(-\frac{9+1}{9}\right)
Multiply 1 and 9 to get 9.
\frac{3}{10}\left(-\frac{10}{9}\right)
Add 9 and 1 to get 10.
\frac{3\left(-10\right)}{10\times 9}
Multiply \frac{3}{10} times -\frac{10}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-30}{90}
Do the multiplications in the fraction \frac{3\left(-10\right)}{10\times 9}.
-\frac{1}{3}
Reduce the fraction \frac{-30}{90} to lowest terms by extracting and canceling out 30.
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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}