simplify

1. How does this fraction simplify into that?

-----> Huh? (Drunk) The first equation is the original, the second one is the answer. A hero is needed to assist me in this strange paradise of problem!
2. Log Simplification

ok I hate logs so how would I simplify: z= 3- 3 log(x+y) thank you :D
3. Simplify the expression

hello, need help simplifying this expression. Any help will be greatly appreciated, thank you. (6x+1)^3(27x^2+2) - (9x^3+2x)(3)(6x+1)^2(6) (6x+1)^6
4. How to simplify

Anyone kind enough to help me understand how to simplify this in terms of A? And in another form if we consider A =1
5. Simplify a (complex) Radical equation help!!

Hi all, i am stuck on how to even begin with this simplification so i know that i need to start within the brackets but that is about it. Any help in how to even begin would be wonderful. Thanks.
6. Addition/subtraction formulas for sine or cosine to simplify the following

cos(3pi/10)cos(pi/5)-sin(3pi/10)sin(pi/5) factor cos and sin and get common denominators and combine: cos(5pi/10)-sin(5pi/10) cosine(90 degrees)-sin(90 degrees) 0-1 answer is -1? Am I correct? Wait I see the formula for this is : cos(a+b) so then I do cos(3pi/10+pi/5) cos(5pi/10) and...

$\left[\left(\frac{B\cdot 3^{\frac{1}{\left(x-1\right)}}}{1+3^{\frac{1}{\left(x-1\right)}}}\right)^x+3\left(\frac{B}{1+3^{\frac{1}{\left(x-1\right)}}}\right)^x\right]^{\frac{1}{x}}$ This is as far as I can get...
8. Simplify?

I am trying to find out how this equation was simplified. F_2^2 + F_2(27.7 - F) - 10.98F + 0.432F^2 + 161.8 = 0 In the text book, it was simplified to: F_2 = (\frac{F}{2}) - 13.85 \pm \sqrt{(30 - 2.87F - 0.182F^2)} Thank you for any help.

3 16 +14 3 2
10. Simplify the ratio

1/(1*2*3) + 1/(2*3*4) + 1/(3*4*5) + ...... + 1/(100*101*102) thank you
11. Simplify the expression [g(x)-g(9)]/x-9

Assume that g(x)=(x-2)/(x+2). Simplify the expression [g(x)-g(9)]/x-9.
12. Evaluate and simplify f(2a/b+3)

Assume that f(x)=x+10/x^2+9 for every real number x. Evaluate and simplify f(2a/b+3).
13. Evaluate and simplify f(b/3)

assume that f(x)= x+7/x^2+4 for every real number x. evaluate and simplify f(b/3).
14. Simplify the Expression (Example Included)

I saved JPEGs of the problem and example, so I don't confuse anyone by writing out the problem with parentheses, carrots, etc. You can view larger resolutions of the problems if you click on them. Here is the problem itself: Here is the example for the problem: I came up with the...
15. Find and simplify

The question gives me f(a+h)-(f)a/h f(x) = (x)^1^/2 I can't figure out how to solve this.