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2y是多少吗 (x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
x+2y ^4-3 x^2-4y^2 ^4-18 2y-x ^4 x+2y ^4-3 x^2-4y^2 ^4-18 2y-x ^4 x+2y ^4-3 x²-4y² ²-18 2y-x ^4= x+

(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
(x+2y)^4-3(x^2-4y^2)^4-18(2y-x)^4
(x+2y)^4-3(x²-4y²)²-18(2y-x)^4
=(x+2y)^4-3(x²-4y²)²-18(x-2y)^4
=(x+2y)^4-3(x+2y)²(x-2y)²-18(x-2y)^4
=[(x+2y)²+3(x-2y)²)][(x+2y)²-6(x-2y)²]
=(x²+4xy+y²+3x²-12xy+12y²)(x²+4xy+y²-6x²+24xy-24y²)
=(4x²-8xy+13y²)(-5x²+28xy-23y²)
=-(4x²-8xy+13y²)(5x²-28xy+23y²)
=-(4x²-8xy+13y²)(x-y)(5x-23y)
x^2-4y^2=-15,2y-x=3则x+2y=?
x^2-4y^2=(x+2y)(x-2y)=(x+2y)*(-3)=-15所以x+2y=5
若x^2-4y^2=-15,2y-x=5,则x+2y=____
x^2-4y^2
=(x+2y)(x-2y)
=(x+2y)*(-5)
=-15
所以
x+2y=3
很赞哦! (1053)