How do you factor 243-3t^4?

1 Answer
Jun 29, 2016

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

Explanation:

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)