Final answer:
To combine the fractions, find a common denominator. Multiply the numerators and denominators. Simplify the expression.
Step-by-step explanation:
To combine the fractions -(2)/((sec(x)+1)(sec(x)-1)), we need to find a common denominator for the two denominators. The common denominator is (sec(x) + 1)(sec(x) - 1). To simplify the expression, we multiply the numerator and denominator of the first fraction by (sec(x) - 1) and the numerator and denominator of the second fraction by (sec(x) + 1).
After multiplying, we have -2(sec(x) - 1) / ((sec(x) + 1)(sec(x) - 1)(sec(x) + 1)).
Simplifying further, the expression becomes -2(sec(x) - 1) / (sec(x) + 1)(sec(x) + 1)(sec(x) - 1).
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