Answer:
The correct option is C.
Step-by-step explanation:
The given expression is
[tex]1-2.25x^8[/tex]
It can be written as
[tex]1-(1.5)^2(x^4)^2[/tex] [tex][\because (x^a)^b=x^{ab}][/tex]
[tex]1-(1.5x^4)^2[/tex] [tex][\because a^xb^x=(ab)^x][/tex]
[tex](1+1.5x^4)(1-1.5x^4)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
The factor form of given expression is [tex](1+1.5x^4)(1-1.5x^4)[/tex], therefore the correct option is C.
