Question

simplify x+2/x+3-x+1/x+2​

Answer 1

$\frac{1}{(x + 3)(x + 2)}$

Step-by-step explanation:

$Given, \: \: \: \frac{x + 2}{x + 3} - \frac{x + 1}{x + 2} \\ = \frac{(x + 2)(x + 2) - (x + 1)(x + 3)}{(x + 3)(x + 2))} \\ = \frac{ ( {x}^{2} + 4x + 4 ) - ( {x}^{2} + 4x + 3)}{(x + 3)(x + 2)} \\ = \frac{ {x}^{2} + 4x + 4 - {x}^{2} - 4x - 3 }{(x + 3)(x + 2)} \\ = \frac{1}{(x + 3)(x + 2)}$

Answer 2

Step-by-step explanation:

Solution

Given:

$( x2 - x) - 21(x - 3 + 3 \times 2)$

$=> \times 2 - x - 2x + 23 -23 \times 2$

$x2(1 - 23) - x(1 + 21) + 23$

$- 2 \times 2 - 23 + 23$