Question

(x+2)(x+3)-(x-2)(x+5)

Answer 1

$(x+2)(x+3)-(x-2)(x+5)$

$=(x^2+5x+6)-(x^2+3x-10)$

$=2x+16$

Answer 2

\(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)\)

\(=x^2+3x+2x+6-\left(x^2+5x-2x-10\right)\)

\(=x^2+3x+2x+6-\left(x^2+3x-10\right)\)

\(=x^2+3x+2x+6-x^2-3x+10\)

\(=2x+16\)

Answer 3

\(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)\)

= \(x^2+5x+6-\left(x^2+3x-10\right)\)

= \(x^2+5x+6-x^2-3x+10\)

= 2x + 16

= 2 ( x + 8)