Evaluate
\frac{t-3r}{2}
Expand
\frac{t-3r}{2}
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\frac{\left(9r^{2}-t^{2}\right)\left(t-7r\right)}{\left(14r-2t\right)\left(t+3r\right)}
Divide \frac{9r^{2}-t^{2}}{14r-2t} by \frac{t+3r}{t-7r} by multiplying \frac{9r^{2}-t^{2}}{14r-2t} by the reciprocal of \frac{t+3r}{t-7r}.
\frac{\left(-7r+t\right)\left(3r+t\right)\left(3r-t\right)}{2\left(3r+t\right)\left(7r-t\right)}
Factor the expressions that are not already factored.
\frac{-\left(3r+t\right)\left(3r-t\right)\left(7r-t\right)}{2\left(3r+t\right)\left(7r-t\right)}
Extract the negative sign in t-7r.
\frac{-\left(3r-t\right)}{2}
Cancel out \left(3r+t\right)\left(7r-t\right) in both numerator and denominator.
\frac{-3r+t}{2}
Expand the expression.
\frac{\left(9r^{2}-t^{2}\right)\left(t-7r\right)}{\left(14r-2t\right)\left(t+3r\right)}
Divide \frac{9r^{2}-t^{2}}{14r-2t} by \frac{t+3r}{t-7r} by multiplying \frac{9r^{2}-t^{2}}{14r-2t} by the reciprocal of \frac{t+3r}{t-7r}.
\frac{\left(-7r+t\right)\left(3r+t\right)\left(3r-t\right)}{2\left(3r+t\right)\left(7r-t\right)}
Factor the expressions that are not already factored.
\frac{-\left(3r+t\right)\left(3r-t\right)\left(7r-t\right)}{2\left(3r+t\right)\left(7r-t\right)}
Extract the negative sign in t-7r.
\frac{-\left(3r-t\right)}{2}
Cancel out \left(3r+t\right)\left(7r-t\right) in both numerator and denominator.
\frac{-3r+t}{2}
Expand the expression.
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Simultaneous equation
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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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