Question

X²+3x-28/24-2x-x²x²-25/x²-4x-5

Answer 1

1) 28
3х - 24 - 2х
7
х-6

Answer 2

It looks like you're providing a mathematical expression:

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(x² + 3x - 28) / (24 - 2x - x²) * (x² - 25) / (x² - 4x - 5)

To simplify this expression, let's break it down step by step.

1. Factor the denominators:

   The denominator (24 - 2x - x²) can be factored as -(x + 6)(x - 4). The denominator (x² - 4x - 5) can be factored as (x - 5)(x + 1).

2. Factor the numerators:

   The numerator (x² + 3x - 28) can be factored as (x + 7)(x - 4). The numerator (x² - 25) can be factored as (x + 5)(x - 5).

3. Rewrite the expression with factored numerators and denominators:

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[(x + 7)(x - 4)] / [-(x + 6)(x - 4)] * [(x + 5)(x - 5)] / [(x - 5)(x + 1)]

4. Cancel out common factors:

The (x - 4) terms cancel out in both the numerator and the denominator. The (x - 5) terms also cancel out.

After canceling the common factors, the expression simplifies to:

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[(x + 7) * (x + 5)] / [-(x + 6) * (x + 1)]

So, the simplified expression is:

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(x + 7)(x + 5) / -(x + 6)(x + 1)

Keep in mind that this simplified expression might still have restrictions on the values of x where the denominator is not equal to zero, leading to potential domain limitations for the expression.