Evaluate
\frac{1}{2\left(3a-2b\right)}
Factor
\frac{1}{2\left(3a-2b\right)}
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\frac{2}{3a-2b}+\frac{3}{2\left(-3a+2b\right)}
Factor 4b-6a.
\frac{2\left(-2\right)}{2\left(-3a+2b\right)}+\frac{3}{2\left(-3a+2b\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3a-2b and 2\left(-3a+2b\right) is 2\left(-3a+2b\right). Multiply \frac{2}{3a-2b} times \frac{-2}{-2}.
\frac{2\left(-2\right)+3}{2\left(-3a+2b\right)}
Since \frac{2\left(-2\right)}{2\left(-3a+2b\right)} and \frac{3}{2\left(-3a+2b\right)} have the same denominator, add them by adding their numerators.
\frac{-4+3}{2\left(-3a+2b\right)}
Do the multiplications in 2\left(-2\right)+3.
\frac{-1}{2\left(-3a+2b\right)}
Do the calculations in -4+3.
\frac{-1}{-6a+4b}
Expand 2\left(-3a+2b\right).
Examples
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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}