Evaluate
-\frac{242}{27}\approx -8.962962963
Factor
-\frac{242}{27} = -8\frac{26}{27} = -8.962962962962964
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\left(-\frac{18+4}{9}\right)\times \frac{3\times 3+2}{3}
Multiply 2 and 9 to get 18.
-\frac{22}{9}\times \frac{3\times 3+2}{3}
Add 18 and 4 to get 22.
-\frac{22}{9}\times \frac{9+2}{3}
Multiply 3 and 3 to get 9.
-\frac{22}{9}\times \frac{11}{3}
Add 9 and 2 to get 11.
\frac{-22\times 11}{9\times 3}
Multiply -\frac{22}{9} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-242}{27}
Do the multiplications in the fraction \frac{-22\times 11}{9\times 3}.
-\frac{242}{27}
Fraction \frac{-242}{27} can be rewritten as -\frac{242}{27} by extracting the negative sign.
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}