Simplify 3 over x plus 2 over quantity x plus 2 all over 3 over quantity x plus 2 minus 2 over x. negative 11 over 4 -1 quantity 5 x plus 6 over x minus 4 quantity 5 x plus 2 over quantity x plus 2

Respuesta :

We are asked in this problem to simplify the statements written on the problem. In this case, we can start converting words into numbers into the function. 

1) (3/x + 2/(x+2) ) /(3/(x+2) -2/x. We should note that the word quantity denotes a parenthesis is started and that a set of terms is grouped inside the parenthesis. 
simplifying, we try to make a common denominator out of this terms.

numerator:
denominator is x*(x+2), so the make up of the numerator is 3*(x+2) + 2x / (x*(x+2).
denominator: 3x - 2(x-2) / (x*(x+2). 
The denominator has the same set of denominators which may cancel out both denominators. Hence,we simplify 

num/denom = 3x+6 +2x / 3x -4x +4 = 5x +6 / 4-x