因式分解(x+y)^4-16x^4

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因式分解(x+y)^4-16x^4因式分解(x+y)^4-16x^4因式分解(x+y)^4-16x^4(x+y)^4-16x^4=[(x+y)^2-4x^2][(x+y)^2+4x^2]=(x+y+2

因式分解(x+y)^4-16x^4
因式分解(x+y)^4-16x^4

因式分解(x+y)^4-16x^4
(x+y)^4-16x^4
=[(x+y)^2-4x^2][(x+y)^2+4x^2]
=(x+y+2x)(x+y-2x)(5x^2+2xy+y^2)
=(3x+y)(y-x)(5x^2+2xy+y^2)

(x+y)^4-16x^4
=[(x+y)^2+4x^2][(x+y)^2-4x^2]
=(x^2+2xy+y^2+4x^2)(x+y+2x)(x+y-2x)
=(5x^2+2xy+y^2)(3x+y)(y-x)
=