Question

What is the factorization of 729x^15 + 1000?

*question has been edited by a moderator for clarity *

Answer 1

if you rewrite

729, x^15, and 1000 as a product of perfect cubes you have

(9x^5)^3 + 10^3

now you have a perfect cube expression a^3 + b^3 where a = (9x^5) and b = 10

now you can factor it out as

a^3 + b^3 = (a+b)(a^2- 2ab + b^2) just replace a and b with the appropriate values

lmk if you are stuck or want to check your solution

welcome to QC~