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What is the product in simplest form?
(x+2)(x-2)/(x+1)(x-1)*(x+1)/x(x+2)
To find the product in simplest form, we need to cancel out any common factors in the numerator and denominator.
(x+2)(x-2)/(x+1)(x-1) * (x+1)/x(x+2)
First, let's simplify the expression:
= (x^2 - 4)/(x^2 - 1) * (x+1)/x(x+2)
= ((x-2)(x+2))/((x-1)(x+1)) * (x+1)/x(x+2)
= ((x-2) * 1)/((x-1) * 1)
= (x-2)/(x-1)
Therefore, the product in simplest form is (x-2)/(x-1).