a^2+2ab+b^2-6a+6b+5a^2-2ab+b^2-6a+6b+5

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a^2+2ab+b^2-6a+6b+5a^2-2ab+b^2-6a+6b+5

a^2+2ab+b^2-6a+6b+5a^2-2ab+b^2-6a+6b+5
a^2+2ab+b^2-6a+6b+5
a^2-2ab+b^2-6a+6b+5

a^2+2ab+b^2-6a+6b+5a^2-2ab+b^2-6a+6b+5
原式=(a²-2ab+b²)-(6a-6b)+5
=(a-b)²-6(a-b)+5
=(a-b-1)(a-b-5)