SOLUTION: since i didnt understand the multiplying part, i didnt really understand the division part either, would be cool if someone could also explain this problem to me; x^2+5x+4/(x+3)^2

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: since i didnt understand the multiplying part, i didnt really understand the division part either, would be cool if someone could also explain this problem to me; x^2+5x+4/(x+3)^2       Log On


   

Question 144818: since i didnt understand the multiplying part, i didnt really understand the division part either, would be cool if someone could also explain this problem to me; x^2+5x+4/(x+3)^2 divided by x+1/x^2-9.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2%2B5x%2B4%29%2F%28x%2B3%29%5E2%29%2F%28%28x%2B1%29%2F%28x%5E2-9%29%29.

Remember when you learned to divide one fraction by another? Just invert the denominator fraction and multiply: %281%2F2%29%2F%283%2F4%29=%281%2F2%29%284%2F3%29=4%2F6=2%2F3

Do the same thing here:

.

To simplify, you need to factor:

x%5E2%2B5x%2B4=%28x%2B4%29%28x%2B1%29
%28x%2B3%29%5E2=%28x%2B3%29%28x%2B3%29, and
x%5E2-9=%28x%2B3%29%28x-3%29 (Difference of two squares)

Now put the factored forms back in and see what you have:


Then you can eliminate factors that are common to both numerator and denominator because a%2Fa=1 for any real a.



Depending on what your instructor expects, you can either leave that as the answer, or multiply the remaining binomials in the numerator:

%28x%5E2%2Bx-12%29%2F%28x%2B3%29