Respuesta :
Answer:
[tex](xy+4)^2+(2x-2y)^2[/tex]
Step-by-step explanation:
Given: [tex](x^2+4)(y^2+4)[/tex]
Solution:
Now we rewrite the equation using two squares
[tex](x^2+2^2)(y^2+2^2)[/tex]
multiply term by term,
[tex](xy)^2+(2x)^2+(2y)^2+(2.2)^2[/tex]
rearrange the order
[tex](xy)^2+(2.2)^2+(2y)^2+(2x)^2[/tex]
add and subtract 8xy
[tex](xy)^2+2(xy)(2.2)+(2.2)^2+(2y)^2-2(2y)(2x)+(2x)^2[/tex]
using formula [tex](a+b)^2= a^2+2ab+b^2[/tex]
[tex](xy+4)^2+(2x-2y)^2[/tex]
