x^4 - 81 over x + 3 simplify

Answer 1

To simplify the expression (x^4 - 81) / (x + 3), we first factor the numerator using the difference of squares formula:

(x^4 - 81) = (x^2 + 9)(x^2 - 9) = (x^2 + 9)(x + 3)(x - 3)

Therefore, the expression becomes:

[(x^2 + 9)(x + 3)(x - 3)] / (x + 3)

Now the (x + 3) terms cancel out, leaving us with:

(x^2 + 9)(x - 3)