Question

4/x+1 - 2/x+2 what is the answer to this problem adding and subtracting rational expressions

Answer 1

`(4)/(x + 1) - (2)/(x + 2) = (4(x + 2))/((x + 1)(x + 2)) - (2(x + 1))/((x + 1)(x + 2)) = (4x + 8)/(x^(2) + 3x + 2) - (2x + 2)/(x^(2) + 3x + 2) = (2x + 6)/(x^(2) + 3x + 2)`

Answer 2

im assuming that you mean 4/(x+1)-2/(x+2)
first get a common denominator of (x+1)(x+2)
multiply 4/(x+1) times (x+2)/(x+2) and get (4x+8)/[(x+1)(x+2)]
then multiply -2/(x+2) times (x+1)/(x+1) and get (-2x-2)/[(x+1)(x+2)]
next connect like parts
(4x+8-2x-2)/[(x+1)(x+2)]
the answer is (2x+6)/[(x+1)(x+2)]