[tex] \frac{ {x}^{2} + 3x + 2}{x + 2} = \frac{ {x}^{2} + 2x + x + 2 }{x + 2} \\ = \frac{x(x + 2) + 1(x + 2)}{x + 2} \\ = \frac{(x + 2)(x + 1)}{x + 2} \\ = x + 1 \: \: \: \: (ans)[/tex]
Above is the correct method to solve this question.
Bror did wrong while solving the question because we can't directly divide any equation.
Hope this helps!
