What is the difference? the fraction with numerator x and denominator x squared plus 3 x plus 2 minus the fraction with numerator 1 and denominator open paren x plus 2 close paren times open paren x plus 1 close paren

Factor the first denominator: x² + 3x + 2 = (x + 1)(x + 2). The fractions then have the same denominator, so subtract their numerators: x − 1. The difference is (x − 1)/(x² + 3x + 2), which is choice B.

AI-written and checked against the verified answer.