Question

(2+а^4)(а^8-2а^4)+а^10(1-а^2)​

Answer 1

Ответ:

2a^8-4a^4+a^12-2a^8+a^10-a^12=-4a^4+a^10

Answer 2

To simplify the expression (2 + a^4)(a^8 - 2a^4) + a^10(1 - a^2), we can distribute the terms and combine like terms:

(2 + a^4)(a^8 - 2a^4) + a^10(1 - a^2) = 2(a^8 - 2a^4) + a^4(a^8 - 2a^4) + a^10(1 - a^2) = 2a^8 - 4a^4 + a^12 - 2a^8 + a^10 - a^6

Now let's group the like terms:

(2a^8 - 2a^8) + (a^12 + a^10) + (-4a^4 - a^6) = a^12 + a^10 - a^6 - 4a^4

So the simplified expression is a^12 + a^10 - a^6 - 4a^4.