搜搜考试网x^3n-x^2n-x^n+1
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x^3n-x^2n-x^n+1
(ax+by)^2+(ab-xy)^2
怎么因式分解（要详细过程）
(ax+by)^2+(ab-xy)^2
怎么因式分解（要详细过程）
x^3n-x^2n-x^n+1
=x^3n+1-x^n*(x^n+1)
=(x^n+1)(x^2n-x^n+1)-x^n*(x^n+1)
=(x^n+1)(x^2n-1)^2
(ax+by)^2+(ab-xy)^2
=a^2x^2+2abxy+b^2y^2+a^2b^2-2abxy+x^2y^2
=a^2x^2+b^2y^2+a^2b^2+x^2y^2
=a^2(x^2+b^2)+y^2(x^2+b^2)
=(a^2+y^2)(x^2+b^2)
=x^3n+1-x^n*(x^n+1)
=(x^n+1)(x^2n-x^n+1)-x^n*(x^n+1)
=(x^n+1)(x^2n-1)^2
(ax+by)^2+(ab-xy)^2
=a^2x^2+2abxy+b^2y^2+a^2b^2-2abxy+x^2y^2
=a^2x^2+b^2y^2+a^2b^2+x^2y^2
=a^2(x^2+b^2)+y^2(x^2+b^2)
=(a^2+y^2)(x^2+b^2)
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