Question

2/a+b-3/a-b+4b/a^2-b^2​

Answer 1

Ответ:

-1/a-b

с помощью разности квадратов двух выражений

Answer 2

To simplify the expression 2/a + b - 3/a - b + 4b/(a^2 - b^2), let's break it down step by step:

1. Combine the like terms: 2/a - 3/a = (2 - 3)/a = -1/a -b + 4b = (-1 + 4)b = 3b

2. Factor the denominator (a^2 - b^2): a^2 - b^2 = (a + b)(a - b)

3. Rewrite the expression using the factored form: -1/a + 3b/(a + b)(a - b)

Therefore, the simplified form of the expression 2/a + b - 3/a - b + 4b/(a^2 - b^2) is -1/a + 3b/(a + b)(a - b).