To simplify the expression (2x^2 - 128) / (x^3 - 16x^2 + 64x), first factor the numerator and denominator.
Factor the numerator2x^2 - 128 = 2(x^2 - 64) = 2(x - 8)(x + 8)
Factor the denominatorx^3 - 16x^2 + 64x = x(x^2 - 16x + 64) = x(x - 8)^2
Now, the expression becomes(2(x - 8)(x + 8)) / (x(x - 8)^2)
We can simplify this expression further by cancelling out the common factors in the numerator and denominator= 2(x + 8) / (x(x - 8))
Therefore, the simplified form of the expression is 2(x + 8) / (x(x - 8)).
To simplify the expression (2x^2 - 128) / (x^3 - 16x^2 + 64x), first factor the numerator and denominator.
Factor the numerator
2x^2 - 128 = 2(x^2 - 64) = 2(x - 8)(x + 8)
Factor the denominator
x^3 - 16x^2 + 64x = x(x^2 - 16x + 64) = x(x - 8)^2
Now, the expression becomes
(2(x - 8)(x + 8)) / (x(x - 8)^2)
We can simplify this expression further by cancelling out the common factors in the numerator and denominator
= 2(x + 8) / (x(x - 8))
Therefore, the simplified form of the expression is 2(x + 8) / (x(x - 8)).