Answer:
9(x-1)(x-1) or 9(x-1)²
Explanation:
9x² - 18x + 9
factor out a 9
9(x² - 2x + 1)
use middle term factorization to factor x² - 2x + 1
9(x-1)(x-1) or 9(x-1)²
Middle term factorization explained:
For x² - 2x + 1, you want to find 2 numbers that multiply to +1 and add to -2. You then split x² to x and x and add the 2 numbers individually to x.
It should look something like (x+1st number)(x+2nd number)
the two numbers that multiply to get to 1 and add to get to -2 are -1 and -1
( -1 × -1 = 1 and -1 + -1 = 2 )
so we then add the number to the split x² to get (x-1)(x-1) which is the same as (x-1)², the 9 is then added to the factored form to get 9(x-1)(x-1) or 9(x-1)²