lukeburrow96
contestada

Which of the following are the factors of t4 – 81?

A. (t – 3)(t + 3)2
B. (t – 3)(t + 3)(t2 + 9)
C. (t2 – 9)(t2 – 9)
D. (t – 3)2(t + 3)2

Respuesta :

TSO
[tex]t^4 - 81 =\\\\(t^2)^2 - (9)^2=\\\\(t^2 - 9)(t^2 + 9) =\\\\\boxed{\bf{ (t-3)(t+3)(t^2 + 9)}}[/tex]

Your answer is B.
Exvited
[tex]t^4 - 81 \\ \\ (t^2)^2 - 9^2 \\ \\ (t^2 + 9)(t^2 - 9) \\ \\ (t^2 + 9)(t^2 - 3^2) \\ \\ (t^2 + 9)(t + 3)(t - 3) \\ \\ [/tex]

The final result is: B

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