Question

Which identity could be used to rewrite the expression x4 – 100?

A. Quadratic Formula
B. Difference of Squares
C. Sum of Cubes
D. Two Squares

Answer 1

100 = 10² and x\(\normalsize\color{small}{\color{sd}{ ~^{4}} }\)=x ²

Answer 2

Difference of Squares `a² - b² = (a - b)(a + b)`

Answer 3

irrreducible factorization would be

(x² - 10)(x² + 10)
(x - √10)(x + √10)(x - i√10)(x + i√10)

Answer 4

irreducible is the last one, factor up to x¹ (but you don't need an irreducible imaginary factorization right now)