把下列各式分解因式:x^4-2x^2+1 x^4-8x^2y^2+16y^4

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把下列各式分解因式:x^4-2x^2+1 x^4-8x^2y^2+16y^4
把下列各式分解因式:x^4-2x^2+1 x^4-8x^2y^2+16y^4

把下列各式分解因式:x^4-2x^2+1 x^4-8x^2y^2+16y^4
x^4-2x^2+1
=(x^2-1)^2
=(x+1)^2(x-1)^2
x^4-8x^2y^2+16y^4
=(x^2-4y^2)^2
=(x+2y)^2(x-2y)^2

x^4-2x^2+1
=(x^2-1)^2
=(x+1)^2(x-1)^2;
x^4-8x^2y^2+16y^4
=(x^2-4y^2)^2
=[(x+2y)(x-2y)]^2
=(x+2y)^2(x-2y)^2.