Question

Сократите дробь 4^n-1 -4^n-1/ 4^n-2

Answer 1

Ответ:...........................

Answer 2

To simplify the given expression, we need to factorize the numerator and the denominator and then cancel out common terms. Let's start by rewriting the expression:

(4^n - 1) - (4^n - 1) / (4^n - 2)

Step 1: Factorize the numerator The numerator has the same expression (4^n - 1) twice, so we can factor it out:

= (4^n - 1) * 1 - (4^n - 1) / (4^n - 2)

Step 2: Factorize the denominator The denominator is (4^n - 2). It cannot be factored further.

Step 3: Cancel out common terms Notice that the two terms in the numerator have a common factor of (4^n - 1). We can cancel this out:

= (4^n - 1) * (1 - 1) / (4^n - 2)

Step 4: Simplify further The expression in the numerator is now zero (1 - 1 = 0), so the final simplified expression is:

= 0 / (4^n - 2)

And since anything divided by zero is undefined, the simplified expression is:

Undefined (or "not defined") for all values of n.

Therefore, the simplified form of the expression is 0 / (4^n - 2), which is undefined.