Question

Ab+b^2/3 : b^3/3a + a+b/b;

Answer 1

= b(a+b)/3 x 3a/b^3 + ab/b
= ab(a+b)/ b^3 + ab^b^2/b= ab(a+b)+ab^2b^3/b^3

Answer 2

To simplify the expression, let's first find a common denominator for the fractions. The common denominator for the three fractions is 3ab.

Now, we can rewrite the expression with the common denominator:

(ab + b^(2/3)) / 3ab + (b^3) / (3a) + (a + b) / b

Next, let's simplify each fraction:

1. (ab + b^(2/3)) / 3ab: The first fraction doesn't have a common factor, so we leave it as it is.

2. (b^3) / (3a): The second fraction doesn't have a common factor, so we leave it as it is.

3. (a + b) / b: The third fraction can be simplified by canceling out the common factor 'b': (a + b) / b = a/b + b/b = a/b + 1

Now the expression becomes:

(ab + b^(2/3)) / 3ab + (b^3) / (3a) + a/b + 1

Since the terms have different variables, it is not possible to further simplify the expression. Thus, the simplified expression is:

(ab + b^(2/3)) / 3ab + (b^3) / (3a) + a/b + 1