(x的平方-2x+1)X(x的平方加2x+1)

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(x的平方-2x+1)X(x的平方加2x+1)

(x的平方-2x+1)X(x的平方加2x+1)
(x的平方-2x+1)X(x的平方加2x+1)

(x的平方-2x+1)X(x的平方加2x+1)
(x^2-2x+1)×(x^2+2x+1)
=(x-1)^2×(x+2)^2
=[(x+1)(x-1)]^2
=(x^2-1)^2
=x^4-2x^2+1

(x^2-2x+1)(x^+2x+1)=(x-1)^2(x+1)^2=(x^2-1)^2这是最简了不?

= (x^2+1)^2 - 4x^2
= x^4+2x^2+1 -4x^2
=(x^2-1)^2
=(x+1)^2(x-1)^2
^2 表示某某的2次方

(X²-2X+1)×(X²+2X+1)

(x^2-2x+1)(x^2+2x+1)
=[(x^2+1)-2x][(x^2+1)+2x]
=(x^2+1)^2-4x^2
=x^4+4x^2+1-4x^2
=x^4+1

(x^2-2x+1)×(x^2+2x+1)
=(x-1)^2×(x+2)^2
=[(x+1)(x-1)]^2
=(x^2-1)^2
=x^4-2x^2+1