若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少

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若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少16(x

若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少
若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少

若x^2-y^2=4,则(x-y)^2乘以(x+y)^2等于多少
16

(x-y)^2乘以(x+y)^2=[(x-y)(x+y)]^2=(x^2-y^2)^2=16

(x-y)^2×(x+y)^2
=[(x-y)×(x+y)]^2
=[x^2-y^2]^2
=4^2=16