Question

( 7 р 30к + 2р 60 к ) : 30 (9 р 67к - 6р 47 к ) • 2

Answer 1

Пошаговое объяснение:

(7 р 30 к + 2 р 60 к) ÷30= 9 р 90 к ÷ 30= 3 р 30 к

(9 р 67 к - 6 р 47 к) × 2 =3 р 20 к × 2= 6 р 40 к

Answer 2

To simplify the expression, let's break it down step by step:

1. Start with the expression inside the parentheses: (7р 30к + 2р 60к) : 30 (9р 67к - 6р 47к).

2. Distribute the division (:) across the terms inside the parentheses: (7р 30к + 2р 60к) / 30 * (9р 67к - 6р 47к).

3. Now, simplify each term separately.

   a. For the first term (7р 30к + 2р 60к) / 30: (7р 30к + 2р 60к) / 30 = (7р 30к / 30) + (2р 60к / 30) = (р 1к) + (2р 2к) = р 1к + 2р 2к

   b. For the second term (9р 67к - 6р 47к): 9р 67к - 6р 47к = (9р - 6р) 67к = 3р 67к

4. Now, combine the two simplified terms: (р 1к + 2р 2к) * 3р 67к

5. Distribute the multiplication (*) across the terms: (р 1к * 3р 67к) + (2р 2к * 3р 67к)

6. Perform the multiplications:

   a. р 1к * 3р 67к = (1 * 3)р^2 * (1к * 67к) = 3р^2 * 67к^2

   b. 2р 2к * 3р 67к = (2 * 3)р^3 * (2к * 67к) = 6р^3 * 134к^2

7. Now, combine the two terms: 3р^2 * 67к^2 + 6р^3 * 134к^2

8. Factor out the common terms, which are 3 and к^2: 3к^2 * (р^2 * 67к^2 + 2р^3 * 134к)

9. Now, the expression is simplified to: 3к^2 * (67р^2к^2 + 268р^3к)

So, the simplified expression is 3к^2 * (67р^2к^2 + 268р^3к).