Evaluate
\frac{1}{2\left(b+2\right)}
Expand
\frac{1}{2\left(b+2\right)}
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\frac{\left(a+3\right)\left(b+2\right)}{\left(b^{2}+4b+4\right)\left(2a+6\right)}
Divide \frac{a+3}{b^{2}+4b+4} by \frac{2a+6}{b+2} by multiplying \frac{a+3}{b^{2}+4b+4} by the reciprocal of \frac{2a+6}{b+2}.
\frac{\left(a+3\right)\left(b+2\right)}{2\left(a+3\right)\left(b+2\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{2\left(b+2\right)}
Cancel out \left(a+3\right)\left(b+2\right) in both numerator and denominator.
\frac{1}{2b+4}
Expand the expression.
\frac{\left(a+3\right)\left(b+2\right)}{\left(b^{2}+4b+4\right)\left(2a+6\right)}
Divide \frac{a+3}{b^{2}+4b+4} by \frac{2a+6}{b+2} by multiplying \frac{a+3}{b^{2}+4b+4} by the reciprocal of \frac{2a+6}{b+2}.
\frac{\left(a+3\right)\left(b+2\right)}{2\left(a+3\right)\left(b+2\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{2\left(b+2\right)}
Cancel out \left(a+3\right)\left(b+2\right) in both numerator and denominator.
\frac{1}{2b+4}
Expand the expression.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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