(x平方-1)(y平方-1)-4xy因式分解
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(x平方-1)(y平方-1)-4xy因式分解
(x^2-1)(y^2-1)-4xy
=(xy)^2-x^2-y^2+1-4xy
=[(xy)^2-2xy+1)]-(x^2+y^2+2xy)
=(xy-1)^2-(x+y)^2
=(xy-1+x+y)(xy-1-x-y)
=(xy)^2-x^2-y^2+1-4xy
=[(xy)^2-2xy+1)]-(x^2+y^2+2xy)
=(xy-1)^2-(x+y)^2
=(xy-1+x+y)(xy-1-x-y)