Marshall uses the polynomial identity (x−y)^2=x^2−2xy+y^2 to show that 8² = 64.

What values can Marshall use for x and y?



Respuesta :

For this case we have the following data:

  • Polynomial identity: [tex](x-y) ^ 2 = x ^ 2-2xy + y ^ 2\\[/tex]
  • We want to show that: [tex]8^2 = 64[/tex]

Let's suppose:

[tex]x = 8\\\\y = 0\\[/tex]

Substituting in the identity we have:

[tex](8-0) ^ 2 = 8 ^ 2-2 (8) (0) + 0 ^ 2\\\\(8) ^ 2 = 64-0 + 0\\\\8 ^ 2 = 64\\[/tex]

Thus, we can use [tex](x, y) = (8,0)[/tex] to prove the identity.

Answer:

[tex](x, y) = (8,0)[/tex]