SOLUTION: Please help me with this question I tried to figure it out and i just can't get it. PLEASE HELP ME!!!! 1) x^2+7x+12/x+4*1/x+3 2)25xy^2/7z/5x^2y^2/14z^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me with this question I tried to figure it out and i just can't get it. PLEASE HELP ME!!!! 1) x^2+7x+12/x+4*1/x+3 2)25xy^2/7z/5x^2y^2/14z^2      Log On


   

Question 116948: Please help me with this question I tried to figure it out and i just can't get it. PLEASE HELP ME!!!!
1) x^2+7x+12/x+4*1/x+3
2)25xy^2/7z/5x^2y^2/14z^2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1)
%28%28x%5E2%2B7x%2B12%29%29%2F%28%28x%2B4%29%29*1%2F%28%28x%2B3%29%29
The first thing you want to do in these problems is see what can be factored
%28%28x%2B3%29%28x%2B4%29%29%2F%28%28x%2B4%29%29*1%2F%28%28x%2B3%29%29 = 1
Note that you have (x+3) and (x+4) in the numerator and the denominator cancel these and that leaves 1
:
:
2)
25xy%5E2%2F%287z%29
---------
5x%5E2y%5E2%2F%2814z%5E2%29
:
Remember, when you divide by fractions, you invert the dividing fraction & multiply
25xy%5E2%2F%287z%29 * %2814z%5E2%29%2F%285x%5E2y%5E2%29
Cancel the following:
5 into 25
7 into 14
x in the numerator into x^2 of the denominator
y^2 into y^2
z in the denominator into z^2 in the numerator
Leaving us with:
5 * %282z%29%2Fx = %2810z%29%2Fx
:
How about this, is this the help you need? Any questions?