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lukeburrow96
lukeburrow96 lukeburrow96
  • 30-03-2016
  • Mathematics
Answered

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

Verified Answer :

TSO
TSO TSO
  • 30-03-2016

\(t^4 - 81 =\\\\(t^2)^2 - (9)^2=\\\\(t^2 - 9)(t^2 + 9) =\\\\\boxed{\bf{ (t-3)(t+3)(t^2 + 9)}}\)

Your answer is B.

Answer Link
Exvited
Exvited Exvited
  • 30-03-2016

\(t^4 - 81 \\ \\ (t^2)^2 - 9^2 \\ \\ (t^2 + 9)(t^2 - 9) \\ \\ (t^2 + 9)(t^2 - 3^2) \\ \\ (t^2 + 9)(t + 3)(t - 3) \\ \\\)

The final result is: B

Answer Link

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