Express 3+5/(x+1)(2x^2+7) as a sum of partial fractions

Answer 1

5/((x+1)(2x^2+7)) = (5/9)/(x+1) - 10/9 (x-1)/(2x^2+7)
But, since
3+5/(x+1)(2x^2+7) is a bit odd, If we assume you meant
(3x+5)/((x+1)(2x^2+7)) then we get (2/9)/(x+1) + (31-4x)/(9(2x^2+7))

so proofread your posts, and be sure to use enough parentheses that things are clear.