(1)x^4y^4-2x^2y^2+1(2)多项式x^2-4y^2,与x^2+4xy+4y^2的公因式是( )A.X^2-4Y^2 B.X+2Y C.X-2Y D(X+2Y)(X-2Y)

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(1)x^4y^4-2x^2y^2+1(2)多项式x^2-4y^2,与x^2+4xy+4y^2的公因式是( )A.X^2-4Y^2 B.X+2Y C.X-2Y D(X+2Y)(X-2Y)
(1)x^4y^4-2x^2y^2+1
(2)多项式x^2-4y^2,与x^2+4xy+4y^2的公因式是( )
A.X^2-4Y^2 B.X+2Y C.X-2Y D(X+2Y)(X-2Y)

(1)x^4y^4-2x^2y^2+1(2)多项式x^2-4y^2,与x^2+4xy+4y^2的公因式是( )A.X^2-4Y^2 B.X+2Y C.X-2Y D(X+2Y)(X-2Y)
x^4y^4-2x^2y^2+1
=(x²y²-1)²
=(xy+1)²(xy-1)²
x^2-4y^2
=(x+2y)(x-2y)
x^2+4xy+4y^2
=(x+2y)²
所以选B

答案为B
x²-4y²=(x+2y)(x-2y)
x²+4xy+4y²=(x+2y)²

2。B
x^2-4y^2=(x+2y2)(x-2y2)
x^2+4xy+4y^2=(x+2y)2