\frac { ( 0,92 ) ^ { 2 } - ( 0,08 ) ^ { 2 } } { 12 }
Evaluate
0,07
Factor
\frac{7}{2 ^ {2} \cdot 5 ^ {2}} = 0.07
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\frac{0,8464-0,08^{2}}{12}
Calculate 0,92 to the power of 2 and get 0,8464.
\frac{0,8464-0,0064}{12}
Calculate 0,08 to the power of 2 and get 0,0064.
\frac{0,84}{12}
Subtract 0,0064 from 0,8464 to get 0,84.
\frac{84}{1200}
Expand \frac{0,84}{12} by multiplying both numerator and the denominator by 100.
\frac{7}{100}
Reduce the fraction \frac{84}{1200} to lowest terms by extracting and canceling out 12.
Examples
Quadratic equation
{ 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}