SOLUTION: Simplify completely: (x/x-3 +4/x) / 1-(1/3-x) "x over x-3 plus 4 over x OVER 1 minus 1over 3-x "

Algebra ->  Equations -> SOLUTION: Simplify completely: (x/x-3 +4/x) / 1-(1/3-x) "x over x-3 plus 4 over x OVER 1 minus 1over 3-x "      Log On


   

Question 879376: Simplify completely: (x/x-3 +4/x) / 1-(1/3-x)
"x over x-3 plus 4 over x OVER 1 minus 1over 3-x "
Found 3 solutions by josgarithmetic, lwsshak3, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What you said both ways is still not precise, but I will try to guess what you mean.

highlight_green%28%28x%2F%28x-3%29%2B4%2Fx%29%2F%281-1%2F%283-x%29%29%29

Looking for a lowest or simplest common denominator, x(x-3) occurs. Note that -(x-3)=3-x, so I am ignoring the negative 1 as part of common denominator.



%28x%5E2%2B4x%28x-3%29%29%2F%28x%5E2-3x-x%28-1%29%29
%28x%5E2%2B4x%5E2-12x%29%2F%28x%5E2-3x%2Bx%29
%285x%5E2-12x%29%2F%28x%5E2-2x%29
See the common factor of x in numerator and denominator,
highlight%28%285x-12%29%2F%28x-2%29%29

Answer by lwsshak3(11628) About Me  (Show Source):
Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify completely: (x/x-3 +4/x) / 1-(1/3-x)
"x over x-3 plus 4 over x OVER 1 minus 1over 3-x "


%28x%2F%28x+-+3%29+%2B+4%2Fx%29%2F%281+-+1%2F%283-x%29%29

%28x%2F%28x+-+3%29+%2B+4%2Fx%29%22%F7%22%281+-+1%2F%283+-+x%29%29

%28%28x%28x%29+%2B+4%28x+-+3%29%29%2Fx%28x+-+3%29%29%22%F7%22%28%281%283+-+x%29+-+1%29%2F%283+-+x%29%29

%28%28x%5E2+%2B+4x+-+12%29%2Fx%28x+-+3%29%29%22%F7%22%28%283+-+x+-+1%29%2F%283+-+x%29%29

%28%28%28x+%2B+6%29%28x+-+2%29%29%2Fx%28x+-+3%29%29%22%F7%22%28%282+-+x%29%2F%283+-+x%29%29

%28%28%28x+%2B+6%29%28x+-+2%29%29%2Fx%28x+-+3%29%29%22%2A%22%28%283+-+x%29%2F%282+-+x%29%29

%28%28%28x+%2B+6%29%28x+-+2%29%29%2Fx%28x+-+3%29%29%22%2A%22%28%28-+1%28-+3+%2B+x%29%29%2F-1%28-+2+%2B+x%29%29

%28%28%28x+%2B+6%29cross%28%28x+-+2%29%29%29%2Fx%28cross%28%28x+-+3%29%29%29%29%22%2A%22 ------- highlight_green%28highlight_green%28%28x+%2B+6%29%2Fx%29%29, or highlight_green%28highlight_green%281+%2B+6%2Fx%29%29