To simplify the expression, we can combine like terms:
2a - 2c + ax - cx / x^2 - 4
Rearranging the terms:
(a + ax - 2c - cx) / (x^2 - 4)
Factor out common terms:
a(1 + x) - 2c(1 + x) / (x^2 - 4)
Factor the denominator:
a(1 + x) - 2c(1 + x) / (x - 2)(x + 2)
Factor out the common factor of (1 + x):
(1 + x)(a - 2c) / (x - 2)(x + 2)
So, 2a - 2c + ax - cx / x^2 - 4 simplifies to (1 + x)(a - 2c) / (x - 2)(x + 2)
To simplify the expression, we can combine like terms:
2a - 2c + ax - cx / x^2 - 4
Rearranging the terms:
(a + ax - 2c - cx) / (x^2 - 4)
Factor out common terms:
a(1 + x) - 2c(1 + x) / (x^2 - 4)
Factor the denominator:
a(1 + x) - 2c(1 + x) / (x - 2)(x + 2)
Factor out the common factor of (1 + x):
(1 + x)(a - 2c) / (x - 2)(x + 2)
So, 2a - 2c + ax - cx / x^2 - 4 simplifies to (1 + x)(a - 2c) / (x - 2)(x + 2)