Respuesta :
Answer:
b
Step-by-step explanation:
(x - y)² = x² - 2xy + y² → (1)
(x + y)² = x² + 2xy + y² → (2)
Subtract (1) from (2)
(x + y)² - (x - y)² = 2xy - (- 2xy) = 2xy + 2xy = 4xy
Add (x - y)² to both sides
(x + y)² = (x - y)² + 4xy ( take the square root of both sides )
x + y = [tex]\sqrt{(x-y)^2+4xy}[/tex], that is
x + y = [tex]\sqrt{6^2+4(16)}[/tex] = [tex]\sqrt{36+64}[/tex] = [tex]\sqrt{100}[/tex] = 10 → b
