Question

What is $\frac{x^8+4}{x^4+2x^2+2}$ equal to?

• A. $x^4-2x^2-2$
• B. $x^4-2x^2+2$
• C. $x^4+2x^2-2$
• D. Cannot be simplified

Answer 1

The correct option is B $x^4-2x^2+2$

$x^8+4=x^8+4-4x^4+4x^4$
$=(x^4+2{)}^2-(2x^2{)}^2$
$=(x^4+2+2x^2)(x^4+2-2x^2)$
$\therefore$ G.E.=$(x^4-2x^2+2)$