Question

27x2-125/9x2-25 сократить дробь

Answer 1

3x²-5 ответ так как они имеют одинаковые показатели

Answer 2

3^3*x^2-5^3\3^2*x^2-25

3-5=-2

Answer 3

To simplify the expression, let's start by factoring the numerators and denominators:

Numerator: 27x^2 - 125 This is a difference of cubes, so we can use the formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). Here, a = 3x and b = 5: 27x^2 - 125 = (3x)^3 - 5^3 = (3x - 5)(9x^2 + 3x * 5 + 5^2) = (3x - 5)(9x^2 + 15x + 25).

Denominator: 9x^2 - 25 This is a difference of squares, so we can use the formula: a^2 - b^2 = (a + b)(a - b). Here, a = 3x and b = 5: 9x^2 - 25 = (3x)^2 - 5^2 = (3x + 5)(3x - 5).

Now, the expression becomes: (27x^2 - 125) / (9x^2 - 25) = [(3x - 5)(9x^2 + 15x + 25)] / [(3x + 5)(3x - 5)].

Notice that we have a common factor of (3x - 5) in both the numerator and denominator, which can be canceled out:

(27x^2 - 125) / (9x^2 - 25) = [(3x - 5)(9x^2 + 15x + 25)] / [(3x + 5)(3x - 5)] = (9x^2 + 15x + 25) / (3x + 5).

So, the simplified expression is (9x^2 + 15x + 25) / (3x + 5).