Evaluate
a = -\frac{1}{2} = -0.5
Expand
a = -\frac{1}{2} = -0.5
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\left(\frac{1}{2}a-\frac{1}{4}\right)\times 2
Divide \frac{1}{2}a-\frac{1}{4} by \frac{1}{2} by multiplying \frac{1}{2}a-\frac{1}{4} by the reciprocal of \frac{1}{2}.
\frac{1}{2}a\times 2-\frac{1}{4}\times 2
Use the distributive property to multiply \frac{1}{2}a-\frac{1}{4} by 2.
a-\frac{1}{4}\times 2
Cancel out 2 and 2.
a+\frac{-2}{4}
Express -\frac{1}{4}\times 2 as a single fraction.
a-\frac{1}{2}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
\left(\frac{1}{2}a-\frac{1}{4}\right)\times 2
Divide \frac{1}{2}a-\frac{1}{4} by \frac{1}{2} by multiplying \frac{1}{2}a-\frac{1}{4} by the reciprocal of \frac{1}{2}.
\frac{1}{2}a\times 2-\frac{1}{4}\times 2
Use the distributive property to multiply \frac{1}{2}a-\frac{1}{4} by 2.
a-\frac{1}{4}\times 2
Cancel out 2 and 2.
a+\frac{-2}{4}
Express -\frac{1}{4}\times 2 as a single fraction.
a-\frac{1}{2}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
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\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}