Question

Z^2-16/z^2 + 4z × (z/z-4)^2

Answer 1

Ответ:

не совсем понятно условие

Объяснение:

Answer 2

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

1. Start with the expression:

   Z^2 - 16 / Z^2 + 4Z × (Z / (Z - 4))^2

2. Simplify the numerator and denominator of the fraction separately:

   Numerator: Z^2 - 16

   Denominator: Z^2 + 4Z

3. Factor the numerator as the difference of squares:

   Numerator: (Z + 4)(Z - 4)

4. Factor out a common factor from the denominator:

   Denominator: Z(Z + 4)

5. Simplify the expression:

   (Z + 4)(Z - 4) / Z(Z + 4) × (Z / (Z - 4))^2

6. Cancel out common factors between the numerator and denominator:

   (Z - 4) / Z × (Z / (Z - 4))^2

7. Simplify further:

   (Z - 4) / Z × (Z^2 / (Z - 4)^2)

8. Cancel out the common factor of (Z - 4):

   1 / Z × Z^2

9. Simplify the expression:

   Z

Therefore, the simplified form of the expression Z^2 - 16 / Z^2 + 4Z × (Z / (Z - 4))^2 is Z.