Question

Сократить дробь (b^2 + 2b -8)/(b^2 - 6b +8)

Answer 1

Решение смотрите в приложении.

Answer 2

To simplify the given fraction, we'll factorize the numerator and denominator and then cancel out common factors. Let's start:

Given fraction: (b^2 + 2b - 8) / (b^2 - 6b + 8)

Step 1: Factorize the numerator and denominator:

Numerator: b^2 + 2b - 8 This can be factored as: (b + 4)(b - 2)

Denominator: b^2 - 6b + 8 This can be factored as: (b - 4)(b - 2)

Step 2: Cancel out common factors:

The (b - 2) factor appears in both the numerator and denominator, so we can cancel it out:

(b + 4) / (b - 4)

So, the simplified form of the fraction is (b + 4) / (b - 4).