x^2+6xy+9y^2-9a^2+6a-1因式分解
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x^2+6xy+9y^2-9a^2+6a-1
=(x^2+6xy+9y^2)-(9a^2-6a+1)
=(x+3y)^2-((3a-1)^2
=[(x+3y)-(3a-1)]X[(x+3y)+(3a-1)]
=(x+3y-3a+1)X(x+3y+3a-1)
=(x^2+6xy+9y^2)-(9a^2-6a+1)
=(x+3y)^2-((3a-1)^2
=[(x+3y)-(3a-1)]X[(x+3y)+(3a-1)]
=(x+3y-3a+1)X(x+3y+3a-1)
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x²+6xy+9y²-9a²+6a-1
=(x²+6xy+9y²)-(9a²-6a+1)
=(x+3y)²-(3a-1)²
=[(x+3y)+(3a-1)][(x+3y)-(3a-1)]
=(x+3y+3a-1)(x+3y-3a+1)
=(x²+6xy+9y²)-(9a²-6a+1)
=(x+3y)²-(3a-1)²
=[(x+3y)+(3a-1)][(x+3y)-(3a-1)]
=(x+3y+3a-1)(x+3y-3a+1)
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