Question

3х-15 ) ( х во второй степени - 25 --------- / ----------------------------------------- =?х+4 ) ( 3х+12

Answer 1

Ответ:

Объяснение

...............................

Answer 2

To simplify the expression, let's factorize the quadratic terms in both the numerator and denominator:

Numerator: x^2 - 25 = (x - 5)(x + 5)

Denominator: 3x^2 + 12x = 3x(x + 4)

Now, we can rewrite the expression:

[(3x - 15) / (x^2 - 25)] / [(x + 4) / (3x + 12)]

To divide fractions, we invert the second fraction and multiply:

[(3x - 15) / (x^2 - 25)] * [(3x + 12) / (x + 4)]

Next, let's cancel out any common factors between the numerators and denominators:

[(3(x - 5)) / ((x - 5)(x + 5))] * [(3(x + 4)) / (x + 4)]

Now, we can simplify further:

[(3(x - 5)) / ((x - 5)(x + 5))] * [(3(x + 4)) / (x + 4)] = [3 / (x + 5)] * 3 = 9 / (x + 5)

Therefore, the simplified expression is 9 / (x + 5).