Question

сократить. 15t/-24t, 125ab⁴c²/ -625a²b²c², 5(a+4)/3 , x-5/5(x+5)(x-5) , 3u/9u-12 , 3b-ab/a(3-a), x(x-3)/x²-x , m(m+1)/m²-m

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Sure, let's simplify each expression:

1. (15t)/(-24t): The common factor in the numerator and denominator is t. Cancel out t: Result: (15t) / (-24t) = -15 / 24 = -5 / 8.

2. (125ab⁴c²) / (-625a²b²c²): The common factor in the numerator and denominator is 5abc². Cancel out 5abc²: Result: (125ab⁴c²) / (-625a²b²c²) = 125 / (-625) = -1/5.

3. 5(a+4) / 3: This expression cannot be simplified further as there are no common factors between the numerator and denominator.

4. (x-5) / 5(x+5)(x-5): The common factor in the numerator and denominator is (x-5). Cancel out (x-5): Result: (x-5) / 5(x+5)(x-5) = 1 / 5(x+5).

5. 3u / (9u-12): The common factor in the numerator and denominator is 3. Cancel out 3: Result: 3u / (9u-12) = u / (3u-4).

6. (3b-ab) / a(3-a): The common factor in the numerator and denominator is b-a. Cancel out b-a: Result: (3b-ab) / a(3-a) = 3 / a.

7. x(x-3) / (x²-x): The common factor in the numerator and denominator is x. Cancel out x: Result: x(x-3) / (x²-x) = (x-3) / x.

8. m(m+1) / (m²-m): The common factor in the numerator and denominator is m. Cancel out m: Result: m(m+1) / (m²-m) = (m+1) / (m-1).

Note: In some cases, further simplification may not be possible if there are no common factors between the terms in the numerator and denominator.