Question

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

Answer 1

For this case we have the following data:

• Polynomial identity: $(x-y) ^ 2 = x ^ 2-2xy + y ^ 2$

• We want to show that: $8^2 = 64$

Let's suppose:

$x = 8\\\\y = 0$

Substituting in the identity we have:

$(8-0) ^ 2 = 8 ^ 2-2 (8) (0) + 0 ^ 2\\\\(8) ^ 2 = 64-0 + 0\\\\8 ^ 2 = 64$

Thus, we can use $(x, y) = (8,0)$ to prove the identity.

Answer:

$(x, y) = (8,0)$