Which expression is equivalent to x squared plus 3 x plus 3 plus open bracket open paren 2 x squared plus 13 x plus 15 close paren divided by open paren x plus 5 close paren close bracket ?

Factor the numerator in the fraction: 2x² + 13x + 15 = (x + 5)(2x + 3). For x ≠ −5, the fraction simplifies to 2x + 3. Then add: x² + 3x + 3 + 2x + 3 = x² + 5x + 6, which is choice B.

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