Question

Сократи дробь (x−5)^2/x2+3x−40.

Answer 1

Привет! Тут вообщем надо было найти корни знаменателя и упростить.

Answer 2

To simplify the fraction (x - 5)^2 / (x^2 + 3x - 40), we first factor the expressions in the numerator and denominator.

Factorization:

1. Numerator: (x - 5)^2 can be rewritten as (x - 5) * (x - 5).
2. Denominator: x^2 + 3x - 40 can be factored as (x + 8) * (x - 5).

Now, the fraction becomes:

((x - 5) * (x - 5)) / ((x + 8) * (x - 5))

Next, we can cancel out the common factor (x - 5) in the numerator and denominator:

(x - 5) / (x + 8)

So the simplified fraction is (x - 5) / (x + 8).