
因式分解:①-xy^5+x^5y;②a^3b^2-25a;③a^4-9
展开全部
①-xy^5+x^5y;
=-xy(y^4-x^4)
=-xy(y²+x²)(y²-x²)
=-xy(y²+x²)(y+x)(y-x)
②a^3b^2-25a;
=a(a²b²-25)
=a(ab+5)(ab-5)
③a^4-9
=(a²+3)(a²-3)
=(a²+3)(a+√3)(a-√3)
=-xy(y^4-x^4)
=-xy(y²+x²)(y²-x²)
=-xy(y²+x²)(y+x)(y-x)
②a^3b^2-25a;
=a(a²b²-25)
=a(ab+5)(ab-5)
③a^4-9
=(a²+3)(a²-3)
=(a²+3)(a+√3)(a-√3)
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询