Question

(2b -7n)²=(2+5m)(5m-2)=​

Answer 1

Ответ:

Смотри решение на фото

Answer 2

(2b - 7n)² = (2b)² - 2 * 2b * 7n + (7n)² = 4b² - 28bn + 49n²

(2 + 5m)(5m - 2) =​ (5m + 2)(5m - 2) = 25m² - 4

Answer 3

To simplify the given expression (2b - 7n)² = (2 + 5m)(5m - 2), we'll start by expanding both sides of the equation separately and then equate them.

First, expand (2b - 7n)²:

(2b - 7n)² = (2b - 7n)(2b - 7n)

Now, use the FOIL (First, Outer, Inner, Last) method to expand the right side:

(2b - 7n)(2b - 7n) = 4b² - 14bn - 14bn + 49n²

Combine like terms:

4b² - 28bn + 49n²

Next, expand (2 + 5m)(5m - 2) using the FOIL method:

(2 + 5m)(5m - 2) = 10m² - 4 + 25m² - 10m

Combine like terms:

35m² - 10m - 4

Now, equate the two expressions:

4b² - 28bn + 49n² = 35m² - 10m - 4

This equation relates b, n, and m. If you need to solve for a specific variable or simplify it further, please provide more information about the specific values or operations you want to perform.