Correct the following.1. (b/b - 1) + (4b/b^2 2. (a 3. (4/a - 5) - (1/5

1.  (b/b - 1) + (4b/b^2 - 1) = (4 -
b)/b

Since b/b equals 1, the first set of
parentheses is

(1 - 1) = 0

In
the second set of parentheses,

4b/b^2 =
4/b

In order to subtract the 4/b - 1, change 1 to
b/b. 

4/b - b/b = (4 -
b)/b

2.  (a - 1/a + 1) + (a + 1/a - 1) =
2a

-1/a + 1/a =
0

1 - 1 = 0

a + a =
2a

3.  (4/a - 5) - (1/5 - a) =
(5a^2 - 26a + 20)/5a

First
distribute the minus sign to the second set of
parentheses. 

4/a - 5 - 1/5 +
a

Rewrite with common
denominators.

20/5a - 25a/5a - 1a/5a +
5a^2/5a

Combine the
numerators.

20 - 25a - 1a + 5a^2 = 20 - 26a +
5a^2

Put this over the denominator
5a.

(5a^2 - 26a + 20)/5a