Question

(x² +4) (2 - 4x +16) - (x²-10) (x-1)

Answer 1

Объяснение:

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Answer 2

Let's simplify the given expression step by step:

1. Expand the first two terms: $(x^2 + 4) \cdot (2 - 4x + 16)$ $= 2x^2 - 4x^3 + 16x + 8 - 16x^2 + 64$ $= -4x^3 - 14x^2 + 16x + 72$

2. Expand the last two terms: $(x^2 - 10) \cdot (x - 1)$ $= x^3 - x^2 - 10x + 10$

3. Subtract the expanded expressions: $(-4x^3 - 14x^2 + 16x + 72) - (x^3 - x^2 - 10x + 10)$ $= -4x^3 - 14x^2 + 16x + 72 - x^3 + x^2 + 10x - 10$ $= -5x^3 - 13x^2 + 26x + 62$

So, the simplified expression is $-5x^3 - 13x^2 + 26x + 62$.