因式分解x^2+6xy+9y^2-16a^2+8a-1

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因式分解x^2+6xy+9y^2-16a^2+8a-1
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因式分解x^2+6xy+9y^2-16a^2+8a-1
因式分解x^2+6xy+9y^2-16a^2+8a-1

因式分解x^2+6xy+9y^2-16a^2+8a-1
原式=(x²+6xy+9y²)-(16a²-8a+1)
=(x+3y)²-(4a-1)²
=[(x+3y)+(4a-1)][(x+3y)-(4a-1)]
=(x+3y+4a-1)(x+3y-4a+1)

x^2+6xy+9y^2-16a^2+8a-1
=(x+3y)^2-(4a-1)^2
=(x+3y-4a+1)(x+3y+4a-1)

答案是:(x+3y+4a-1)(x+3y-4a+1)