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\frac{\left(5-6x\right)\left(6x+5\right)}{\left(5+6x\right)\left(6x-5\right)}
Multiply \frac{5-6x}{5+6x} times \frac{6x+5}{6x-5} by multiplying numerator times numerator and denominator times denominator.
\frac{-\left(6x-5\right)\left(6x+5\right)}{\left(6x-5\right)\left(6x+5\right)}
Extract the negative sign in 5-6x.
-1
Cancel out \left(6x-5\right)\left(6x+5\right) in both numerator and denominator.