Question

хелп пж)
Спростіть вираз

Answer 1

Ответ:

2 ^ 4

Объяснение:

((a ^ 0.5 + 2)/(a ^ 0.5 - 2) / ((a ^ 0.5 - 2)/(a ^ 0.5 + 2)) - 16/(a - 4)) ^ 4

( 1 2 +2 1/2 + (a ^ (1/2) - 2)/(a ^ (1/2) - 2) - 16/(a - 4) )^ 4

( (1/2 + 2) ^ 2 * (a - 4) + (1/2 - 2) ^ 2 * (a - 4) - 16(a ^ (1/2) - 2)(a ^ (1/2) + 2) ( 1 2 -2)*(a^ 1 2 +2)+(a^ 1 2 +2)+(a-4) )^ 4

(1/(a ^ 2) + 2) ^ 2 * (a - 4) + (1/2 - 2) ^ 2 * (a - 4) - 16(a - 4) ( 1 a^ 2 -2)*( 1 2 +2)*(a-4) )

(1/2 + 2) ^ 2 * (a - 4) + (1/2 - 2) ^ 2 * (a - 4) - 16(a - 4) ( 1 2 -2)*( 1 a^ 2 -2)*( 1 a^ 2 +2)*(a-4) )

(a-4)*(( 1 a^ 1 2 +2)^ 2 +( 1 2 -2)^ 2 -16) (1/2 - 2) + (1/2 + 2) + (a - 4) )^ 4

((2a - 8)/(a - 4)) ^ 4

((2(a - 4))/(a - 4)) ^ 4

2 ^ 4