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\frac{\left(4\times 2+1\right)\times 4}{2\left(2\times 4+1\right)}
Divide \frac{4\times 2+1}{2} by \frac{2\times 4+1}{4} by multiplying \frac{4\times 2+1}{2} by the reciprocal of \frac{2\times 4+1}{4}.
2
Cancel out 2\left(1+2\times 4\right) in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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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}