Question

Сократить дроби a^2-2a/a^2-4

Answer 1

A²-2a/a²-4=a(a-2)/(a-2)²=a/a-2

Answer 2

To simplify the fraction (a^2 - 2a) / (a^2 - 4), we can factor the numerator and denominator, if possible, and then cancel out any common factors.

Step 1: Factor the numerator and denominator. a^2 - 2a can be factored as a(a - 2). a^2 - 4 can be factored as (a + 2)(a - 2).

Step 2: Now rewrite the fraction with the factored forms. (a^2 - 2a) / (a^2 - 4) = (a(a - 2)) / ((a + 2)(a - 2)).

Step 3: Cancel out the common factor (a - 2) from the numerator and denominator. (a(a - 2)) / ((a + 2)(a - 2)) = a / (a + 2).

So, the simplified fraction is a / (a + 2).