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

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

solomonzelman · Answer

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

solomonzelman · Answer

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

solomonzelman · Answer

irrreducible factorization would be 

(x² - 10)(x² + 10)
(x - √10)(x + √10)(x - i√10)(x + i√10)

solomonzelman · Answer

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