Question

Factorise (x+3)^2-8 (x+3)+16

Answer 1

$\huge\bf{Answer:-}$

Refer the attachment.

Answer 2

Given : (x + 3)² - 8 (x + 3) + 16​

To Find :  Factorize

Solution:

(x + 3)² - 8 (x + 3) + 16​

= (x + 3)² - 2(4) (x + 3) + 4²

Use (a  - b)²  = a²  - 2ab + b²

a  = x  + 3

b = y

= (x + 3 - 4)²

= (x - 1)²

= (x - 1)(x - 1)

(x + 3)² - 8 (x + 3) + 16​   =   (x - 1)(x - 1)

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