Evaluate
\frac{15}{2b}
Differentiate w.r.t. b
-\frac{15}{2b^{2}}
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\frac{5a\left(3a+6b\right)}{\left(a+2b\right)\times 2ab}
Divide \frac{5a}{a+2b} by \frac{2ab}{3a+6b} by multiplying \frac{5a}{a+2b} by the reciprocal of \frac{2ab}{3a+6b}.
\frac{5\left(3a+6b\right)}{2b\left(a+2b\right)}
Cancel out a in both numerator and denominator.
\frac{3\times 5\left(a+2b\right)}{2b\left(a+2b\right)}
Factor the expressions that are not already factored.
\frac{3\times 5}{2b}
Cancel out a+2b in both numerator and denominator.
\frac{15}{2b}
Expand the expression.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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