Question

Factor 1 - 2.25x^8.

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

$1-2.25x^8$

It can be written as

$1-(1.5)^2(x^4)^2$                       $[\because (x^a)^b=x^{ab}]$

$1-(1.5x^4)^2$                       $[\because a^xb^x=(ab)^x]$

$(1+1.5x^4)(1-1.5x^4)$                       $[\because a^2-b^2=(a+b)(a-b)]$

The factor form of given expression is $(1+1.5x^4)(1-1.5x^4)$, therefore the correct option is C.

Answer 2

1 - 2.25x⁸ =
1² - (1.5x⁴)² =
(1 + 1.5x⁴)(1 - 1.5x⁴)