Question

(x+y)(2x+5)−(x+y)(x+3)​

Answer 1

Given equation,

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

Now we have to solve this equation,

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

$2x^{2} +5x+2xy+5y-(x^{2} +3x+xy+3y)$

$2x^{2} +5x+2xy+5y-x^{2} -3x-xy-3y$

$x^{2} +2x+xy+2y$

Therefore the final equation is

$x^{2} +2x+xy+2y$

Answer 2

Answer:

$(x+2)(x+y)$

Step-by-step explanation:

Given expression

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

$=2x^{2}+5x+2xy+5y-(x^{2}+3x+xy+3y)$

$=2x^{2}+5x+2xy+5y-x^{2}-3x-xy-3y$

$=x^{2}+2x+xy+2y$

$=x(x+2)+y(x+2)$

$=(x+2)(x+y)$.

Hence, the answer is $(x+2)(x+y)$.