Question

X^2-25/x^2+12x+36×3x+18/2x+10

Answer 1

Удачи надеюсь все правильно

Answer 2

To simplify the given expression, let's break it down into smaller parts and simplify each part step-by-step:

1. Simplify the expression within the first set of parentheses: (x^2 - 25) / (x^2 + 12x + 36)

The numerator can be factored as the difference of squares: x^2 - 25 = (x + 5)(x - 5). The denominator is a perfect square trinomial: x^2 + 12x + 36 = (x + 6)^2.

So, the expression becomes: [(x + 5)(x - 5)] / (x + 6)^2

2. Simplify the expression within the second set of parentheses: (3x + 18) / (2x + 10)

Both the numerator and denominator have a common factor of 3, so we can simplify: (3(x + 6)) / (2(x + 5))

3. Combine the two simplified expressions: [(x + 5)(x - 5)] / (x + 6)^2 * (3(x + 6)) / (2(x + 5))

Now, we can cancel out the common factors in the numerator and denominator: [(x + 5)(x - 5) * 3(x + 6)] / [(x + 6)^2 * 2(x + 5)]

4. Expand and further simplify the numerator: Expanding the numerator: (3(x^2 + 6x) + 3(5x + 30)) = (3x^2 + 18x) + (15x + 90) = 3x^2 + 33x + 90

So, the expression becomes: (3x^2 + 33x + 90) / [(x + 6)^2 * 2(x + 5)]

The simplified expression is: (3x^2 + 33x + 90) / (2(x + 5)(x + 6)^2)