Question

$2( {x + 1})^{2} - 5( \frac{x}{x + 1}) + 2$
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Answer 1

$2( {x + 1})^{2} - 5( \frac{x}{x + 1}) + 2 \\ \\ 2( {x}^{2} + {1}^{2} + 2x) - \frac{5x}{(x + 1)} + 2 \\ 2 {x}^{2} + 2 + 4x - \frac{5x}{(x + 1)} + 2 \\ 2 {x}^{2} + 2 + 4x + ( \frac{5x + 2x + 2}{x + 1} ) \\ \frac{ ( (x + 1)(2 {x}^{2} + 2 + 4x)) + (7x + 2)}{x + 1} \\ \frac{2 {x}^{3} + 2x + 4 {x}^{2} + 2 {x}^{2} + 2 + 4x + 7x + 2 }{x + 1} \\ \frac{2 {x}^{3} + 6 {x}^{2} + 13x +4 }{x + 1}$

wana solve more just multiple and divide with x-1

so that there should be a whole number at bottom