Question

(x^2-1)(x^2+1)-2x^2(x-1)+(2x-5)(x^2-1)

Answer 1

Ответ:x^4-1-2x^3+2x^2+2x^3-2x-5x^2+5=

x^4+4-3x^2-2x=x^4+4-3x^2-2x

Объяснение:

Answer 2

To simplify the expression $(x^2 - 1)(x^2 + 1) - 2x^2(x - 1) + (2x - 5)(x^2 - 1)$, you can start by expanding each term and then combining like terms:

1. Expand the first term $(x^2 - 1)(x^2 + 1)$: $(x^2 - 1)(x^2 + 1) = x^4 + x^2 - x^2 - 1 = x^4 - 1$

2. Expand the second term $-2x^2(x - 1)$: $-2x^2(x - 1) = -2x^3 + 2x^2$

3. Expand the third term $(2x - 5)(x^2 - 1)$: $(2x - 5)(x^2 - 1) = 2x^3 - 2x - 5x^2 + 5$

Now, combine all the expanded terms:

$(x^2 - 1)(x^2 + 1) - 2x^2(x - 1) + (2x - 5)(x^2 - 1) = (x^4 - 1) - 2x^3 + 2x^2 + 2x^3 - 2x - 5x^2 + 5$

Now, you can simplify further by combining like terms:

$x^4 - 1 - 5x^2 - 2x + 5$

Now, combine the constants and simplify:

$x^4 - 5x^2 - 2x + 4$

So, the simplified expression is $x^4 - 5x^2 - 2x + 4$.