因式分解x^2-2x-4y^2+1

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因式分解x^2-2x-4y^2+1

因式分解x^2-2x-4y^2+1
因式分解x^2-2x-4y^2+1

因式分解x^2-2x-4y^2+1
x^2-2x-4y^2+1
=x^2-2x+1-4y^2按照x的降幂排列
=(x-1)^2-4y^2
=(x-1)^2-(2y)^2
=(x-1-2y)(x-1+2y) 逆用平方差公式进行因式分解

x^2-2x-4y^2+1
=x^2-2x+1-4y^2
=(x-1)^2-4y^2
=(x-1-2y)(x-1+2y)

x^2-2x-4y^2+1
=x^2-2x+1-4y^2
=(x-1)^2-4y^2(运用平方差公式,自己做吧)
=

x^2-2x-4y^2+1
=x^2-2x+1-4y^2
=(x-1)^2-4y^2
=(x-1+2y)(x-1-2y)