分解x^2-4x+8y-4y^2

问题描述:

分解x^2-4x+8y-4y^2

x^2-4x+8y-4y^2
= x^2-4y^2 -4x+8y
= (x+2y) (x-2y) - 4 (x-2y)
= (x+2y-4 ) (x-2y)
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x²-4x+8y-4y²
=(x²-4y²)-(4x-8y)
=(x+2y)(x-2y)-4(x-2y)
=(x-2y)[(x+2y)-4]
=(x-2y)(x+2y-4)

x^2-4x+8y-4y^2
=x²-4x+4-4y²+8y-4
=(x-2)²-4(y-1)²
=(x-2+2y-2)(x-2-2y+2)
=(x+2y-4)(x-2y)
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