Perform the operations y4 y2 1 y4 2y2 1 7y4 8y2 10 y

Perform the operations. [-(y^4 - y^2 + 1) - (y^4 + 2y^2 + 1)] + (7y^4 - 8y^2 - 10) [-(y^4 - y^2 + 1) - (y^4 + 2y^2 + 1)] + (7y^4 - 8y^2 - 10) = (simplify your answer.)

Solution

[-(y⁴ -y² +1)-(y⁴ +2y² +1)]+(7y⁴ -8y² -10)

=[-y⁴ +y² -1-y⁴ -2y² -1]+(7y⁴ -8y² -10)

=-y⁴ +y² -1-y⁴ -2y² -1+7y⁴ -8y² -10

=(-1-1+7)y⁴+(1-2-8)y²+(-1-1-10)

=5y⁴-9y²-12