Question

2/x+1 - x+3/x+1, 7x+5/1-x + 3x+6/x-1​

Answer 1

Ниже слайд)

Правильно, наверное))

Answer 2

To simplify the given expressions, we need to find a common denominator for each fraction and then perform the operations accordingly. Let's simplify each expression step by step:

1. Simplifying (2/x+1) - (x+3/x+1): First, find a common denominator, which is (x + 1): (2/x + 1) - (x + 3/x + 1) = (2 - (x + 3)) / (x + 1) = (2 - x - 3) / (x + 1) = (-x - 1) / (x + 1)

2. Simplifying (7x + 5)/(1 - x) + (3x + 6)/(x - 1): First, find a common denominator, which is (x - 1): (7x + 5)/(1 - x) + (3x + 6)/(x - 1) = ((7x + 5)(x - 1) + (3x + 6)(1 - x)) / (x - 1) = ((7x^2 - 7x + 5x - 5) + (3x + 6 - 3x^2 - 6x)) / (x - 1) = (7x^2 - 7x + 5x - 5 + 3x + 6 - 3x^2 - 6x) / (x - 1) = (7x^2 - 3x^2 - 7x + 5x - 6x + 3x - 5 + 6) / (x - 1) = (4x^2 - 4x + 1) / (x - 1)

So the simplified expressions are:

1. (-x - 1) / (x + 1)
2. (4x^2 - 4x + 1) / (x - 1)