(x + y)(2x + 5) – (x + y)(x + 3)

= (x + y){(2x + 5) – (x + 3)}

= (x + y)(2x + 5 – x – 3)

= (x + y)(2x – x + 5 – 3)

= (x + y)(x + 2)

So,

We get,

(x + y)(2x + 5) – (x + y)(x + 3) = (x + y)(x + 2)