Question

Simplify

Y/3 + 1/y power of 2/9 -1

Answer 1

The simplified expression is 3/(y - 3).

First, we factor the denominator of the given expression as the difference of squares:

(y/3 + 1)/((y ^ 2)/9 - 1) = (y/3 + 1)/((y/3 + 1)(y/3 - 1))

Then, we can cancel the common factors in the numerator and denominator:

(y/3 + 1)/((y/3 + 1)(y/3 - 1)) = (y/3 + 1)/(y/3 - 1)

Finally, we can simplify the expression by dividing the numerator and denominator by y/3:

(y/3 + 1)/(y/3 - 1) = (y/3 + 1/(y/3)) / (y/3 - 1/(y/3))

= (1 + 1/y) / (1 - 1/y)

= (1y + 1) / (y - 1)

= 3/(y - 3)

Therefore, the simplified expression is 3/(y - 3).