Question

What is the prime factorization of 111^10 − 111^9?

Answer 1

factorise

Answer 2

I am having trouble with this problem because the numbers are too large to factorize.

Answer 3

\[x^{n+1} − x^n=x^n(x-1)\]

Answer 4

the terms inside the brackets simplify and then can be factored without too much difficulty,

and the term out side the bracket also factorise ,

Answer 5

Oh alright I get it now! Thanks!! @UnkleRhaukus

Answer 6

what did you get?

Answer 7

i can check your working if you want

Answer 8

I got 3^9 x 37^9 x 5 x 2 x 11

Answer 9

I believe that is correct @UnkleRhaukus

Answer 10

yup

Answer 11

Thanks :)

Answer 12

Excellent work!