Question

What is the factored form of t6 − p3?

A.
(t2 + p)(t4 − pt2 + p2)
B.
(t − p)2(t2 − pt + p2)
C.
(t2 − p)(t4 + pt2 + p2)
D.
(t − p)2(t2 + pt + p2)

Answer 1

(C). (t² - p)(
`t^(4)` + pt² + p²)

Explanation:

a³ - b³ = (a - b)(a² + ab + b²)

`t^(6)` - p³ = (t²)³ - p³ = (t² - p)(
`t^(4)` + pt² + p²)