Question

1) (a-b)² ---------------- = a-b2) m+n ------- = (m+n)²3) m-n --------- = (m-n)²​

Answer 1

1) a-b
2) 1/m+n
3) 1/m-n

Answer 2

Let's simplify each of the given expressions:

1. (a - b)²: To simplify (a - b)², we'll use the formula for squaring a binomial, which is (a - b)² = a² - 2ab + b².

2. (m + n) / (m + n)²: To simplify (m + n) / (m + n)², we'll write (m + n)² as (m + n)(m + n) and then divide (m + n) by (m + n)(m + n). The result is 1 / (m + n).

3. (m - n) / (m - n)²: To simplify (m - n) / (m - n)², we'll write (m - n)² as (m - n)(m - n) and then divide (m - n) by (m - n)(m - n). The result is 1 / (m - n).

In summary:

1. (a - b)² = a² - 2ab + b²
2. (m + n) / (m + n)² = 1 / (m + n)
3. (m - n) / (m - n)² = 1 / (m - n)