(a2+2ab-4)(a2+2ab-2)+1 因式分解

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(a2+2ab-4)(a2+2ab-2)+1 因式分解
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(a2+2ab-4)(a2+2ab-2)+1 因式分解
(a2+2ab-4)(a2+2ab-2)+1 因式分解

(a2+2ab-4)(a2+2ab-2)+1 因式分解
(a2+2ab-4)(a2+2ab-2)+1
=(a^2 +2ab)^2 - 6(a^2 +2ab) +8+1
=(a^2 +2ab)^2 - 6(a^2 +2ab) +9
= (a^2 +2ab -3)^2
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(a²+2ab-4)(a²+2ab-2)+1
=[(a²+2ab)-4][(a²+2ab)-2]+1
=(a²+2ab)²-6(a²+2ab)+8+1
=(a²+2ab)²-6(a²+2ab)+9
=[(a²+2ab)-3]²
=(a²+2ab-3)²

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(a²+2ab-4)(a²+2ab-2)+1
令a²+2ab=t
=(t-4)(t-2)+1
=t²-6t+9
=(t-3)²
=(a²+2ab-3)²

(a2+2ab-4)(a2+2ab-2)+1
=(a^2+2ab)^2-6(a^2+2ab)+8+1
=(a^2+2ab)^2-6(a^2+2ab)+9
=(a^2+2ab-3)^2