Question

(x²+4)2-(x - 1)(x+4)(x² +16).​

Answer 1

Ответ:

прибавь еще баллы это мало

Answer 2

To simplify the given expression, expand and combine like terms:

1. Start with the given expression: (x² + 4)² - (x - 1)(x + 4)(x² + 16)

2. Expand (x² + 4)²: (x² + 4)² = (x² + 4)(x² + 4) = x² * x² + x² * 4 + 4 * x² + 4 * 4 = x^4 + 4x² + 4x² + 16 = x^4 + 8x² + 16

3. Expand (x - 1)(x + 4)(x² + 16): (x - 1)(x + 4)(x² + 16) = (x² + 16)(x - 1)(x + 4) [Rearrange for simplicity] = (x² + 16)(x² + 3x - 4x - 4) [Use FOIL method] = (x² + 16)(x² - x - 4) [Combine like terms] = x² * x² + 16 * x² - x * x² - x * x - 4 * x² - 16 * x + 16 * x + 64 = x^4 + 16x² - x^3 - x² - 4x² - 16x + 16x + 64 = x^4 + 11x² - x^3 + 64

4. Now, subtract the expanded expressions: (x² + 4)² - (x - 1)(x + 4)(x² + 16) = (x^4 + 8x² + 16) - (x^4 + 11x² - x^3 + 64)

5. Combine like terms: (x^4 + 8x² + 16) - (x^4 + 11x² - x^3 + 64) = x^4 - x^4 + 8x² - 11x² + x³ - 16 + 64

6. Simplify the expression: x^4 - x^4 is 0, so it cancels out. 8x² - 11x² = -3x² x³ - 16 + 64 = x³ + 48

Final simplified expression: -3x² + x³ + 48