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\frac{\left(x+2\right)\left(4-x\right)}{\left(x-4\right)\left(2+x\right)}
Multiply \frac{x+2}{x-4} times \frac{4-x}{2+x} by multiplying numerator times numerator and denominator times denominator.
\frac{-\left(x-4\right)\left(x+2\right)}{\left(x-4\right)\left(x+2\right)}
Extract the negative sign in 4-x.
-1
Cancel out \left(x-4\right)\left(x+2\right) in both numerator and denominator.