Question

(X+4)*(x-4)/4(x^2-16)

Answer 1

Применена формула разности квадратов

Answer 2

To simplify the expression, let's break it down step by step:

1. Factorize the denominator: x^2 - 16 can be factored as (x - 4)(x + 4).

2. Cancel out common factors: (X + 4)(x - 4) / 4(x^2 - 16) can be rewritten as (X + 4)(x - 4) / 4(x - 4)(x + 4).

3. Cancel out the common factor of (x - 4) from the numerator and denominator: (X + 4)*(x - 4) / 4(x - 4)(x + 4) = (X + 4) / 4(x + 4).

Therefore, the simplified expression is (X + 4) / 4(x + 4).