x^2-6x+9;9(x+y)^2-6(x+y)+1(a^2+b^2)^2-4a^2b^2-4a^2b^2

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x^2-6x+9;9(x+y)^2-6(x+y)+1(a^2+b^2)^2-4a^2b^2-4a^2b^2

x^2-6x+9;9(x+y)^2-6(x+y)+1(a^2+b^2)^2-4a^2b^2-4a^2b^2
x^2-6x+9;9(x+y)^2-6(x+y)+1
(a^2+b^2)^2-4a^2b^2-4a^2b^2

x^2-6x+9;9(x+y)^2-6(x+y)+1(a^2+b^2)^2-4a^2b^2-4a^2b^2
x^2-6x+9;
=x^2-2×x×3+3² 完全平方
=(x-3)²
9(x+y)^2-6(x+y)+1
=[3(x+y)]²-2×3(x+y)×1+1² 完全平方
=[3(x+y)-1]²
=(3x+3y-1)²

解x^2-6x+9
=x^2-6x+3²
=(x-3)²
9(x+y)^2-6(x+y)+1
=[3(x+y)]^2-6(x+y)+1²
=[3(x+y)-1]²
=(3x+3y-1)²
(a^2+b^2)^2-4a^2b^2-4a^2b^2
=a^4+b^4+2a^2b^2-4a^...

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解x^2-6x+9
=x^2-6x+3²
=(x-3)²
9(x+y)^2-6(x+y)+1
=[3(x+y)]^2-6(x+y)+1²
=[3(x+y)-1]²
=(3x+3y-1)²
(a^2+b^2)^2-4a^2b^2-4a^2b^2
=a^4+b^4+2a^2b^2-4a^2b^2-4a^2b^2
=a^4+b^4-2a^2b^2-4a^2b^2
=(a^2-b^2)^2-4a^2b^2
=(a^2-b^2)^2-(2ab)^2
=(a^2-b^2-2ab)(a^2-b^2+2ab)

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