(a²-6)²-6(a²-6)+9=

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(a²-6)²-6(a²-6)+9=
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(a²-6)²-6(a²-6)+9=
(a²-6)²-6(a²-6)+9=

(a²-6)²-6(a²-6)+9=
(a²-6)²-6(a²-6)+9=(a²-6-3)²=(a²-9)²=(a-3)²(a+3)²