look at the picture attached for question
[tex]SOLUTION:[/tex]
x²+y²+2xy-100
= (x+y)²-100
[tex]( perfect square formula (a+b)² = a²+b²+2ab square variance formula a²-b² = (a+b)(a-b) )[/tex]
= (x+y)²-10²
So the answer Is
[tex]=(x+y+10)(x+y-10)[/tex]