Question

2) (x4 - 1)2 – (x4 + 4) - (x4 - 6);4) (x8 + 9) (11 - x8) - (x + 1)2.​

Answer 1

Пошаговое объяснение:

рада помочь ))))))))))))

Answer 2

Let's simplify each of these expressions step by step:

2. (x^4 - 1)^2 - (x^4 + 4) - (x^4 - 6)

First, expand the square:

(x^4 - 1)^2 = x^8 - 2x^4 + 1

Now, simplify the expression:

x^8 - 2x^4 + 1 - (x^4 + 4) - (x^4 - 6)

Now, combine like terms:

x^8 - 2x^4 + 1 - x^4 - 4 - x^4 + 6

Now, simplify further:

x^8 - 2x^4 - x^4 - x^4 + 1 - 4 + 6

Combine like terms again:

x^8 - 4x^4 + 3

So, the simplified expression is:

x^8 - 4x^4 + 3

4. (x^8 + 9)(11 - x^8) - (x + 1)^2

Let's start by multiplying the two binomials:

(x^8 + 9)(11 - x^8) = 11x^8 - x^16 + 9 * 11 - 9x^8

Now, simplify further:

11x^8 - x^16 + 99 - 9x^8

Now, combine like terms:

(11x^8 - 9x^8) - x^16 + 99

2x^8 - x^16 + 99

Now, let's expand the square in the second part of the expression:

(x + 1)^2 = x^2 + 2x + 1

So, the expression becomes:

2x^8 - x^16 + 99 - (x^2 + 2x + 1)

Now, distribute the negative sign:

2x^8 - x^16 + 99 - x^2 - 2x - 1

Combine like terms:

• x^16 + 2x^8 - x^2 - 2x + 98

So, the simplified expression is:

-x^16 + 2x^8 - x^2 - 2x + 98