Factor.
t^4 + 2t^2 + 1
t^4 + 2t^2 + 1
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Remember that (a+b) = a^2 + 2ab + b^2.
Hence:
t^4 + 2t^2 + 1 = (t^2+1)^2
In this case:
a = t^2 and b = 1.
Hence:
t^4 + 2t^2 + 1 = (t^2+1)^2
In this case:
a = t^2 and b = 1.
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(t^2+1)(t^2+1)
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(t^2 + 1)^2
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t^4 + 2t^+1=(t^2+1)^2
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Yup