Respuesta :

The product od the given question is [tex]5x^{2} + 2y^{2}[/tex] + 7xy

Step-by-step explanation:

Formula

(a+b)(c+d) = a(c+d) +b(c+d)

=ac+ad+bc+bd

Here,

(5x+2y)(x+y)

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

=[tex]5x^{2}[/tex] + 5xy + 2xy + [tex]2y^{2}[/tex]

= [tex]5x^{2} + 2y^{2}[/tex] + 7xy

Answer: Simplified 5x^2+7xy+2y^2

Step-by-step explanation:

5x*x=5x^2

2y*2=2y^2

2y*x=2xy

5x*y=5xy

Adding the finals together & simplifying you would get:

5x^2+7xy+2y^2