[tex](x + 4) ^ {2} + (x - 4) ^ {2} - 2(x - 2)(x + 2)[ / tex]?

(x + 4)2 + (x−4)2−2(x−2)(x + 2)​ (x + 4)2 = 2 + 8x + 16 = x2 + 8x + 16 + (x−4)2−2(x−2)(x + 2)

(x−4)2 = x2−8x + 16 = x2 + 8x + 16 + x2−8x + 16−2(x−2)(x + 2) Expandir : −2(x−2)(x + 2) = −2x2 + 8

$ = x ^ 2 + 8x + 16 + x ^ 2 - 8x + 16 - 2x ^ 2 + 8$ = x2 + 8x + 16 + x2−8x + 16−2x2 + 8

Simplificar : x2 + 8x + 16 + x2−8x + 16−2x2 + 8 = 40 = 40R / 40.