Factorise

. (x+2) ²-6 (x + 2) + 9

(x-1) (x-1)

Step-by-step explanation:

hello:

(x+2) ²-6 (x + 2) + 9 = (x+2) ²-2 * (3) (x + 2) + 3²

by identity : (a-b) ² = a²-2ab+b²

let : a=x+2 and b = 3

(x+2) ²-6 (x + 2) + 9 = (x+2) ²-2 * (3) (x + 2) + 3² = ((x+2) - 3) ² = (x+2-3) ² = (x-1) ²=

(x-1) (x-1)