Question

Сократите дробь a^2-4/a^2+2a

Answer 1

Просто. Элементарно.

Answer 2

$=\frac{(a-2)(a+2)}{a(a+2)}=\frac{a-2}{a}$

Answer 3

To simplify the given fraction (a^2 - 4) / (a^2 + 2a), we can factor the numerator and denominator and then cancel out common factors:

1. Factor the numerator (a^2 - 4): a^2 - 4 = (a + 2)(a - 2)

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

Now, the fraction becomes:

(a^2 - 4) / (a^2 + 2a) = [(a + 2)(a - 2)] / [a(a + 2)]

Next, we can cancel out the common factor (a + 2) from the numerator and denominator:

(a^2 - 4) / (a^2 + 2a) = (a - 2) / a

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