分解因式。请帮我看看详细过程。
1个回答
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解原式=[(x^6)^2-1]/(x+1)
=(x^6+1)(x^6-1)/(x+1)
=(x^6+1)(x^3+1)(x^3-1)/(x+1)
=(x^6+1(x^3-1)(x+1)(x^2-x+1)/(x+1)
=(x^9+x^3-x^6-1)(x^2-x+1)
=x^11-x^10+x^9+x^5-x^4+x^3-x^8+x^7-x^6-x^2+x-1
=x^11-x^10+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1
你是对的
=(x^6+1)(x^6-1)/(x+1)
=(x^6+1)(x^3+1)(x^3-1)/(x+1)
=(x^6+1(x^3-1)(x+1)(x^2-x+1)/(x+1)
=(x^9+x^3-x^6-1)(x^2-x+1)
=x^11-x^10+x^9+x^5-x^4+x^3-x^8+x^7-x^6-x^2+x-1
=x^11-x^10+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1
你是对的
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