`(x+2)/(x^3 + 1) `
` = ((x+2)(x+1))/( (x+1)^2 (x^2 -x+1))`
`= (x^2+ x + 2x +2)/( (x+1)^2 (x^2 - x+1))`
`= (x^2+ 3x+2)/((x+1)^2 (x^2 - x+1))`
``
`(4-x)/(x^2 + 2x+1)`
` = ((4-x)(x^2 - x +1))/((x+1)^2 (x^2 - x+1))`
` = (4x^2 -4x + 4 - x^3 + x^2 - x )/((x+1)^2 (x^2 - x+1))`
`= ( 5x^2 - x^3 - 5x + 4)/((x+1)^2 (x^2 - x+1))`