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liberstina [14]
4 years ago
15

Factorise. (x+2) ²-6 (x+ 2) +9​

Mathematics
1 answer:
soldier1979 [14.2K]4 years ago
4 0

Answer:

(x-1)(x-1)

Step-by-step explanation:

hello :

(x+2) ²-6 (x+ 2) +9​ =(x+2) ²-2×(<em>3</em>) (x+ 2) +<em>3²</em>

by identity :   (a-b)² = a²-2ab+b²

let : a=x+2   and   b= <em>3</em>

(x+2) ²-6 (x+ 2) +9​ =(x+2) ²-2×(<em>3</em>) (x+ 2) +<em>3²=</em> ((<em>x+2)-3</em>)<em>²= (</em>x+2-3)² = (x-1)²=

(x-1)(x-1)

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