How do you factor # 243-3t^4#?

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Answer 1 · 2016-06-29T16:30:57

#3(9+t^2)(3+t)(3-t)#

To factor #243-3t^4#

Begin by factoring out the common factor 3

#3(81-t^4)#

Now recognizing #81-t^4# as the difference of two squares we can factor the binomial.

#3(9+t^2)(9-t^2)#

Now recognizing #9-t^2# as the difference of two squares we can factor the binomial.

#3(9+t^2)(3+t)(3-t)#