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\frac{\left(-2s+t\right)\left(2s+t\right)}{\left(2s-t\right)\left(2s+t+1\right)}
Factor the expressions that are not already factored.
\frac{-\left(2s+t\right)\left(2s-t\right)}{\left(2s-t\right)\left(2s+t+1\right)}
Extract the negative sign in t-2s.
\frac{-\left(2s+t\right)}{2s+t+1}
Cancel out 2s-t in both numerator and denominator.
\frac{-2s-t}{2s+t+1}
Expand the expression.
\frac{\left(-2s+t\right)\left(2s+t\right)}{\left(2s-t\right)\left(2s+t+1\right)}
Factor the expressions that are not already factored.
\frac{-\left(2s+t\right)\left(2s-t\right)}{\left(2s-t\right)\left(2s+t+1\right)}
Extract the negative sign in t-2s.
\frac{-\left(2s+t\right)}{2s+t+1}
Cancel out 2s-t in both numerator and denominator.
\frac{-2s-t}{2s+t+1}
Expand the expression.