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