"Factor the polynomial. t4−1" was answered by our community

Clifland

Answered question

2021-02-15

Factor the polynomial.

t^{4} - 1

Answer & Explanation

ottcomn

Skilled2021-02-16Added 97 answers

$t^{4} - 1$ As $t^{4} = (t^{2})^{2}$ and $1 = 1^{2}$ , we have $(t^{2})^{2} - 1^{2} = (t^{2} + 1) (t^{2} - 1)$ , (by the special product rule that states $a^{2} - b^{2} = (a - b) (a + b))$ And we can factor $(t^{2} - 1) a s (t + 1) (t - 1)$ . Then we have $(t^{2} + 1) (t + 1) (t - 1)$ .

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