Question

Factor 3^5 + 12^4 − 36^3

Answer 1

Answer:

-39501

Step-by-step explanation:

3^5 + 12^4 − 36^3 can be rewritten with 3^3 as a factor showing up one or more times in each term:

(3^3)(3^2) + 3^4*4^4 - (6^2)^3                      or:

(3^3)(3^2) + (3^3)*3*256 - (6^6)                     or:

     same            same     - 3^6*2^6                

Factoring out 3^3, we get:

(3^3)(3^2) + 3*256 - 3^3*64)        or

(3^3){9 + 256 -1728} or

3^3{-1463}, oe

-39501

Answer 2

Find the greatest common factor among the bases, which is 3. Now find the lowest power that they can all go in to, that’s also 3. So we’re factoring our a 3^3 to get :

3^3[(1^2) + (4^1) + (12)]