Question

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(x+2)^2-6(x+2)+9​

Answer 1

Answer:

(x-1)²

Step-by-step explanation:

  (x+2)²-6(x+2)+9

= x² + 4x + 4 - 6x - 12 + 9

= x² - 2x + 1

That is the same as (x-1)²

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Answer 2

Simplify:

Step-by-step explanation:

$\ Given \ that:$

$\ (x+2)^2 \ - \ 6 \ (x+2)\ + \ 9$

$\ Solve:$

$\ formula:$

$\ (a+b)^2 = \ a^2 + \ b^2 + \ 2. \ a. \ b$

$\ x^2 \ + \ 2^2 \ + 2.x.2 \ -\ 6 \ (x+2) + 9$

$\ x^2 \ + \ 4 \ + 4\ x \ -\ 6 \ x \ - \ 12 + 9\\\\\ x^2 -\ 2 \ x \ - \ 12 + 9 + \ 4 \\\\\ x^2 \ -\ 2 \ x \ +1 \\\\\ x^2 \ -\ (x+ x) \ +1 \\\\\ x^2 \ -\ x - x \ +1 \\\\\ x(x \ - 1)\ -1(x -1) \\\\\ (x \ - 1)\ (x \ -1) \\\\\ (x \ -1)^2$

Learn more:

• Simplify: https://brainly.in/question/8451502