Question

((√a-8/√a+8)-(√a+8/√a-8))/(16√a/64-a)=?

Answer 1

Решение на фотографии

Answer 2

1 действие в скобках:
-32корня из а/ ( а-64)
2 детские - деление
Ответ: 2

Answer 3

To simplify the given expression, let's take it step by step:

1. First, simplify the individual fractions in the numerator: ((√a - 8) / (√a + 8)) - ((√a + 8) / (√a - 8))

To add or subtract fractions, we need a common denominator. The common denominator here is (√a + 8)(√a - 8). So, the expression becomes:

((√a - 8)(√a - 8) - (√a + 8)(√a + 8)) / ((√a + 8)(√a - 8))

2. Expand the numerators: (a - 16√a + 64 - (a + 16√a + 64)) / ((√a + 8)(√a - 8))

3. Combine like terms in the numerator: (a - 16√a + 64 - a - 16√a - 64) / ((√a + 8)(√a - 8))

4. Simplify further: (-32√a) / ((√a + 8)(√a - 8))

5. Now, simplify the denominator: 16√a / (64 - a)

To divide fractions, invert the second fraction and multiply: (-32√a) * (64 - a) / (16√a)

6. Cancel out common factors: -2(64 - a)

Finally, the simplified expression is: -2(64 - a)

Remember that this simplified expression may have restrictions on the domain of 'a' to avoid division by zero or negative values under the square root. Always consider any domain constraints when interpreting the result.