Question

Which of the following is equal to the average of (x+2)^2 and (x-2)^2

A. X^2
B. X^2+2
C. X^2+4
D. X^2+2x
E. None of these

Answer 1

C

expand factors, sum like terms and divide by 2

(x + 2)² + (x - 2)² = x² + 4x + 4 + x² - 4x + 4 = 2x² + 8

`(1)/(2)`(2x² + 8 ) = x² + 4 → C