Question

1.
What is the simplified form of >>>>

Answer 1

Hint:

x^4 - 81

(x^2)^2 - 9^2 ... rewrite as squares

(x^2 - 9)(x^2 + 9) ... use the difference of squares formula to factor

(x^2 - 3^2)(x^2 + 9) ... rewrite as squares

(x - 3)(x+3)(x^2 + 9) ... use the difference of squares formula to factor

Answer 2

So

x^4 - 81

factors to

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