x^3(a+1)-xy(x-y)(a-b)+y3^(b+1) 因式分解

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 05:06:57
x^3(a+1)-xy(x-y)(a-b)+y3^(b+1)因式分解x^3(a+1)-xy(x-y)(a-b)+y3^(b+1)因式分解x^3(a+1)-xy(x-y)(a-b)+y3^(b+1)因式

x^3(a+1)-xy(x-y)(a-b)+y3^(b+1) 因式分解
x^3(a+1)-xy(x-y)(a-b)+y3^(b+1) 因式分解

x^3(a+1)-xy(x-y)(a-b)+y3^(b+1) 因式分解
x³(a+1)-xy(x-y)(a-b)+y³(b+1)
=x³(a-b+b+1)-xy(x-y)(a-b)+y³(b+1)
=x³(a-b)+x³(b+1)-xy(x-y)(a-b)+y³(b+1)
=(x³+y³)(b+1)+[x³-xy(x-y)](a-b)
=(x+y)(x²-xy+y²)(b+1)+x(x²-xy+y²)(a-b)
=(x²-xy+y²)[(x+y)(b+1)+x(a-b)]
=(x²-xy+y²)(ax+x+by+y)