Perform the subtraction and Simplify

Question

I need help trying to get the answer to subtracting these problems with fractions.

2/ x+1 - 1/x+6

THank you

Answer 1

2/(x+1) - 1/(x+6)

put them over a common denominator, the sum the new numerators

common denominator = (x+1)(x+6)

2/(x+1) - 1/(x+6)

= 2(x+6)/(x+1)(x+6) - (x+1)/(x+1)(x+6)

= (2x+12 -x-1)/(x+1)(x+6)

=(x+11)/(x^2+7x +6)

UNLESS, by chance you meant the problem to read

2/x + 1 - 1/x + 6, then

it equals

2/x - 1/x + 1+6

= 1/x + 7

= (1+7x)/x

Guess is you meant the 1st, but technically what you wrote is the 2nd.