x^2-2x-4y^2-4y 因式分解

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x^2-2x-4y^2-4y 因式分解
x^2-2x-4y^2-4y 因式分解

x^2-2x-4y^2-4y 因式分解
x^2-2x-4y^2-4y
=(x^2-4y^2)-(2x+4y )
=(x+2y)(x-2y)-2(x+2y)
=(x+2y)(x-2y-2)

x² - 2x - 4y² - 4y
= (x² - 2x + 1) - (4y² + 4y + 1)
= (x - 1)² - (2y + 1)²
= (x - 1 + 2y + 1)(x - 1 - 2y - 1)
=(x + 2y)(x - 2y - 2)

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

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

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

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