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分解因式:xyz(x3+y3+z3)-y3z3+z3x3+x3y3
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分解因式:xyz(x3+y3+z3)-y3z3+z3x3+x3y3
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答案和解析
原式=xyz*x3 xyz(y3 z3)-y3z3 x3(y3 z3)=xyz*x3-y3z3 (xyz x3)(y3 z3)=yz(x4-y2z2) x(yz x2)(y3 z3)=yz(x2 yz)(x2-yz) x(yz x2)(y3 z3)=(x2 yz)[yz(x2-yz) x(yz z3)]
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