To simplify the given expression, let's first find a common denominator. We can rewrite the expression as follows:
(9x^-2)/(8 - x^-2) - (9x^-2)/(8 + x^-2)
To find a common denominator, we multiply the denominators together:
(8 - x^-2)(8 + x^-2) = 8^2 - (x^-2)^2 = 64 - x^-4
Now, rewrite the expression with the common denominator:
[(9x^-2)(8 + x^-2) - (9x^-2)(8 - x^-2)] / (64 - x^-4)
Expand the terms in the numerator:
(72x^-2 + 9 - 72x^-2 + 9) / (64 - x^-4)
Combine like terms in the numerator:
18 / (64 - x^-4)
So, the simplified expression is:
18 / (64 - x^-4)
Данное выражение упрощается до 18 / (64 - x^-4).
