Posted by **Anonymous** on Sunday, November 21, 2010 at 5:25pm.

1. Subtract and simplify

18/y-8 - 18/8-y

2. subtract simplify if possible

v-5/v - 7v-31/11v

3. Simplify by removing factors of 1

r^2-81/(r+9)^2

4. Divide and simplify

v^2-16/25v+100 divided by v-4/20

5. find all rational numbers for which the rational expression is undefined:

-18/7w

6. solve:

2/Z+4= 1/z-6

- Algebra -
**Henry**, Sunday, November 21, 2010 at 9:34pm
1. 18 / (y - 8) - 18 / (8 - y),

Multiply numerator and denominator of

2nd fraction by -1 and get:

18 / (y - 8) + 18 / (y - 8) =

36 / (y - 8).

2. (v - 5) / v - (7v - 31) / 11v,

Common denominator = 11v:

(11v - 55 -7v + 31) / 11v,

Combine like-terms:

(4v - 24) / 11v = 4(v - 6) / 11v.

3. (r^2 - 81) / (r + 9)^2,

Factor the numerator:

(r + 9) (r - 9) / (r + 9)^2,

Multiply numerator and denomjnator by

(r + 9)^2 and get:

(r + 9)^-1 (r - 9) / 1,

Multiply numerator and denominator by

(r + 9)^1:

(r - 9) / (r + 9).

4. (v^2 - (16/25)v + 100) / (v - 4)/20

Multiply numerator and denominator by 25 and get:

(V^2 - 16V + 100) / 5(V - 4) / 4,

Multiply numerator and denominqator by

4/5 and get:

4/5(v^2 - 16v + 100) / (v - 4).

6. 2 / (z + 4) = 1 / (z - 6),

Cross multiply:

2z - 12 = z + 4,

2z - z = 4 + 12,

z = 16.

- Algebra -
**chanda**, Saturday, December 4, 2010 at 3:31pm
_4y_____ _ ___3y________

y^2+6y+5 y^2+5y+4

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