上海青木大讲堂:化为平方差的形式再因式分解
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1.x^4-3x^2y^2+y^4
2.64x^4+1
2.64x^4+1
1.x^4-3x^2y^2+y^4
=x^4-2x^2y^2+y^4-x^2y^2
=(x^2-y^2)^2-x^2y^2
=(x^2-y^2+xy)(x^2-y^2-xy)
2.64x^4+1
=64x^4+16x^2+1-16x^2
=(8x^2+1)-16x^2
=(8x^2+1+4x)(8x^2+1-4x)