[a(a+2b)]^2-a^2 化简

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[a(a+2b)]^2-a^2 化简
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[a(a+2b)]^2-a^2 化简
[a(a+2b)]^2-a^2 化简

[a(a+2b)]^2-a^2 化简
[a(a+2b)]^2-a^2
=a^2(a+2b)^2-a^2
=a^2[(a+2b)^2-1]
=a^2(a+2b-1)(a+2b+1)

原式=a^2(a+2b)^2-a^2
=a^2[(a+2b)^2-1]
=a(a+2b+1)(a+2b-1)

[a(a+2b)]^2-a^2
={[a(a+2b)]+a}{[a(a+2b)]-a}
=[a(a+2b+1)][a(a+2b-1)]
=a^2(a+2b+1)(a+2b-1)

原式=(a^2+2ab)^2-a^2
=a^4-4a^3b+4a^2b^2-a^2

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