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13-12-2020
Mathematics

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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)

Respuesta :

xenia168 xenia168

13-12-2020

Answer:

(C). (t² - p)( [tex]t^{4}[/tex] + pt² + p²)

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

[tex]t^{6}[/tex] - p³ = (t²)³ - p³ = (t² - p)( [tex]t^{4}[/tex] + pt² + p²)

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