Question

Select the correct answer. What is the factored form of this expression? 216p^6+1

A: (6p^2-1) (36p^4+6p^2+1)
B: (3p-1) (3p+1) (36p^4+6p^2+1)
C: (3p-1) (3p+1) (6p^2-p^2+1)
D: (6p^2) (36p^4-6p^2+1)

Answer 1

Option A

Explanation:

`216p {}^(6) + 1`

216p⁶ - 36p⁴ + 6p² + 36p⁴ - 6p² + 1

6(36p⁶ - 6p⁴ + p²) + 1(36p⁴ - 6p² + 1)

6(36p⁴ - 6p² + 1) × p² + 1(36p⁴ - 6p² + 1/

(6p² - 1)(36p⁴ + 6p² + 1)