Question

(1/(a^1\4 -b^1\4) -1/(a^1\4 +b^1\4) *(a-b) /(4a+4a^1/2*b^1/2) ​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the given expression, let's start by finding a common denominator for the two fractions in the expression:

The common denominator for (a^(1/4) - b^(1/4)) and (a^(1/4) + b^(1/4)) is (a^(1/4) - b^(1/4))(a^(1/4) + b^(1/4)).

Now, we can rewrite the expression as follows:

(1/(a^(1/4) - b^(1/4)) - 1/(a^(1/4) + b^(1/4))) * (a - b) / (4a + 4√(ab))

Next, let's simplify the fractions:

Step 1: Finding the common denominator and combining the fractions. [(a^(1/4) + b^(1/4)) - (a^(1/4) - b^(1/4))] * (a - b) / (4a + 4√(ab))

Step 2: Further simplification of the numerator. [2b^(1/4)] * (a - b) / (4a + 4√(ab))

Step 3: Canceling out common factors. b^(1/4) * (a - b) / (2(a + √(ab)))

So, the simplified expression is:

b^(1/4) * (a - b) / (2(a + √(ab)))