Using algebraic identities, simplify the following expression.
$\frac{(x^4+x^2+1)}{(x^2+x+1)}$
Answer & explanation
Correct answer: option 4
$\frac{(x^4+x^2+1)}{(x^2+x+1)}$
We know that,
x4 + x2y2 + y4 = (x2 – xy + y2) (x2 + xy + y2)
$\frac{(x^2+x+1)(x^2-x+1)}{(x^2+x+1)}$ = $(x^2-x+1)$