2个回答
展开全部
(x+1)^4+(x^2-1)^2+(x-1)^4
=(x+1)^4+[(x-1)(x+1)]^2+(x-1)^4
=[(x+1)^4+2(x-1)^2(x+1)^2+(x-1)^4]-(x-1)^2(x+1)^2
=[(x+1)^2+(x-1)^2]-(x-1)^2(x+1)^2
=2X^2+2-(x^2-1)^2
=2X^2+2-(x^4-2x^2+1)
=-x^4+4x^2+1
=(x+1)^4+[(x-1)(x+1)]^2+(x-1)^4
=[(x+1)^4+2(x-1)^2(x+1)^2+(x-1)^4]-(x-1)^2(x+1)^2
=[(x+1)^2+(x-1)^2]-(x-1)^2(x+1)^2
=2X^2+2-(x^2-1)^2
=2X^2+2-(x^4-2x^2+1)
=-x^4+4x^2+1
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展开全部
(x+1)^4+(x^2-1)^2+(x-1)^4
=(x+1)^4+[(x-1)(x+1)]^2+(x-1)^4
=[(x+1)^4+2(x-1)^2(x+1)^2+(x-1)^4]-(x-1)^2(x+1)^2
=[(x+1)^2+(x-1)^2]-(x-1)^2(x+1)^2
=2X^2+2-(x^2-1)^2
=2X^2+2-(x^4-2x^2+1)
=-x^4+4x^2+1
=(x+1)^4+[(x-1)(x+1)]^2+(x-1)^4
=[(x+1)^4+2(x-1)^2(x+1)^2+(x-1)^4]-(x-1)^2(x+1)^2
=[(x+1)^2+(x-1)^2]-(x-1)^2(x+1)^2
=2X^2+2-(x^2-1)^2
=2X^2+2-(x^4-2x^2+1)
=-x^4+4x^2+1
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