Question 330704
multiplying any quantity by one does not change the value ___ one is anything divided by itself


starting with the fraction ___ {{{(1 / (a + (1/a))) * (a / a)}}} gives {{{(a / (a^2 + 1))}}}


multiplying the first term "a" by {{{(a^2 + 1) / (a^2 + 1)}}} to get a common denominator ___ {{{(a(a^2 + 1)) / (a^2 + 1)}}}


adding the fractions ___ {{{((a(a^2 + 1))+ a) / (a^2 + 1)}}}


factoring the "a" in the numerator ___ {{{(a(a^2+2)) / (a^2 + 1)}}}