Question

Factor

3^5 + 12^4 − 36^3

Answer 1

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)]

Answer 2

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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

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