The values Matilda use are A. x = 10 and y = 2
Since Matilda uses the polynomial identity (2x−y)² =4x²− 4xy + y² to show that 18² = 324, we choose the value of x = 10 and y = 2 since 2x - y = 2(10) - 2 = 20 - 2 = 18
Substituting the values of the variables into the polynomial identity, we have
(2x − y)² = 4x²− 4xy + y²
(2(10) − 2)² = 4(10)²− 4(10)(2) + 2²
(20 − 2)² = 4(100)− 4(10)(2) + 4
(20 − 2)² = 400 − 80 + 4
18² = 320 + 4
324 = 324
Since both the Left hand side and right hand side of the polynomial equation are equal, then x = 10 and y = 2
So, the values Matilda use are A. x = 10 and y = 2
Learn more about polynomial identities here:
https://brainly.com/question/22054283
