分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) 速度啊啊
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![分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) 速度啊啊](/uploads/image/z/603546-42-6.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F1.+x%5E4%2B4+2.+x%5E4%2By%5E4%2B%28x%2By%29%5E4+3.+4x%5E2y%5E2-x%5E4-y%5E4-z%5E4-2%28x%5E2y%5E2-y%5E2z%5E2-z%5E2x%2A2%29+%E9%80%9F%E5%BA%A6%E5%95%8A%E5%95%8A)
分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) 速度啊啊
分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) 速度啊啊
分解因式1. x^4+4 2. x^4+y^4+(x+y)^4 3. 4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2-z^2x*2) 速度啊啊
1.x^4+4
=x^4+4x^2+4-4x^2
=(x^2+2)^2-(2x)^2
=(x^2+2+2x)(x^2+2-2x)
2.x^4+y^4+(x+y)^4
=x^4+y^4+(x^2+y^2+2xy)^2
=(x^2+y^2)^2-2x^2y^2+(x^2+y^2)^2+4xy(x^2+y^2)+4x^2y^2
=2[(x^2+y^2)^2+2xy(x^2+y^2)+(xy)^2]
=2(x^2+y^2+xy)^2
3.4x^2y^2-x^4-y^4-z^4-2(x^2y^2-y^2z^2+z^2x*2)
=-[x^4+y^4-2x^2y^2-2x^2y^2+z^4+2x^2y^2-2y^2z^2+2z^2x*2]
=-[(x^2-y^2)^2+z^4+2z^2(x^2-y^2)]
=-(x^2-y^2+z^2)^2