当x=2^999,y=(-2)^999时,代数式4x^2-8xy+4y^2的值为
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![当x=2^999,y=(-2)^999时,代数式4x^2-8xy+4y^2的值为](/uploads/image/z/1638068-68-8.jpg?t=%E5%BD%93x%3D2%5E999%2Cy%3D%28-2%29%5E999%E6%97%B6%2C%E4%BB%A3%E6%95%B0%E5%BC%8F4x%5E2-8xy%2B4y%5E2%E7%9A%84%E5%80%BC%E4%B8%BA)
当x=2^999,y=(-2)^999时,代数式4x^2-8xy+4y^2的值为
当x=2^999,y=(-2)^999时,代数式4x^2-8xy+4y^2的值为
当x=2^999,y=(-2)^999时,代数式4x^2-8xy+4y^2的值为
4x^2-8xy+4y^2
=4(x^2-2xy+y^2)
=4(x-y)^2
=4(2^999-(-2)^999)^2
=4*(*2^999)^2
=4*(2^1000)^2
=4^2*2^2000
=2^(2002)
等于2^2002
4x²-8xy+4y²
=4(x²-2xy+y²)
=4(x-y)²
=4[2^999-(-2)^999]²
=4×4×2^1998
=2^4×2^1998
=2²ºº²
4x^2-8xy+4y^2
=4(x^2-2xy+y^2)
=4(x-y)^2
=4[2^999-(-2)^999]^2
=4(2×2^999)^2
=16×2^1998
2^(2002)