Question:
Factorize each of the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Solution:
$(x+2)^{2}-6(x+2)+9$
$=(\mathrm{x}+2)^{2}-2 \times(\mathrm{x}+2) \times 3+3^{2}$
$=[(\mathrm{x}+2)-3]^{2}$
$=(\mathrm{x}+2-3)^{2}$
$=(\mathrm{x}-1)^{2}$
$=(\mathrm{x}-1)(\mathrm{x}-1)$
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