Question

solve the following equation (x+2)(x+3)+(x-3)(x+2)-2x(x+1)​

Answer 1

Answer:

$2x$

Step-by-step explanation:

$(x + 2)(x + 3) + (x - 3)(x + 2) - 2x(x + 1)$

$( {x}^{2} + 2x + 3x + 6) + ( {x}^{2} + 2x - 3x - 6) - (2 {x}^{2} + 2x)$

$( {x}^{2} + 5x + 6) + ( {x}^{2} - x - 6) - (2 {x}^{2} + 2x)$

${x}^{2} + 5x + 6 + {x}^{2} - x - 6 - 2 {x}^{2} - 2x$

${x}^{2} + {x}^{2} - 2 {x}^{2} + 5x - x - 2x + 6 - 6$

$2 {x}^{2} - 2 {x}^{2} + 2x$

$2x$