SOLUTION: Hi, Please help me to solve step-by-step on these questions. Thank you very much. 7. Refer to Section 7.2 in the text for examples to subtract the following rational expression

Algebra ->  Linear-equations -> SOLUTION: Hi, Please help me to solve step-by-step on these questions. Thank you very much. 7. Refer to Section 7.2 in the text for examples to subtract the following rational expression      Log On


   

Question 1112603: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
7. Refer to Section 7.2 in the text for examples to subtract the following rational expression. Show the steps necessary to get a common denominator, perform the operation, and simplify the final answer to lowest terms :
(n^2-5n)/(n^2+8n+16) - 6/(n + 4)
9. Given the rational equation :
x/(x+1) + 9x/(x^2+3x+2) = 12/(x+2)
List the values of x (if any) for which the expressions in this equation are undefined.
What expression could be used to clear the fractions ?
Solve the equation showing all steps. Be sure to check the solutions.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28n%5E2-5n%29%2F%28n%5E2%2B8n%2B16%29%29+-+%286%2F%28n+%2B+4%29%29




%28%28n%28n-5%29%29%2F%28%28n%2B4%29%5E2%29%29+-+%286%2F%28n+%2B+4%29%29
LCD (n+4)^2
%28%28n%28n-5%29%29+-+%286%2A%28n+%2B+4%29%29%29%2F%28n%2B4%29%5E2
%28n%5E2-5n+-6n+-24%29%2F%28n%2B4%29%5E2

%28n%5E2+-11n+-24%29%2F%28n%2B4%29%5E2
--------
%28x%2F%28x%2B1%29%29+%2B+%289x%2F%28x%5E2%2B3x%2B2%29%29+=+%2812%2F%28x%2B2%29%29

%28x%2F%28x%2B1%29%29+%2B+%289x%2F%28%28x%2B2%29%28x%2B1%29%29%29+=+%2812%2F%28x%2B2%29%29
For x=-1 or x=-2 not defined
Multiply the equation by (x+1)(x+2)
weget
x(x+2) +9x = 12(x+1)
x%5E2%2B2x%2B9x=12x%2B12
x%5E2%2B11x=12x%2B12

x%5E2-x-12=0
(x-4)(x+3)=0
x=4 or -3
Plug x=4
(4/(4+1)) + (9*4/((4+2)(4+1))) = 2
12/(x+2) -> 12/(4+2)=2
You plug -3 and try