分解因式:3x(x-y)3-6y(y-x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/02 12:48:59
分解因式:3x(x-y)3-6y(y-x)
x){b⧳<~, {z+5Y=@ I*'A~ ۂu+5㌵*,FnF36$,ҭQV\Z`lkfYWjWTBXF@ Ns.L$E`ǂȖGC."it;L BpHc*$Z8BlbIf,}6} g<_;Žg3?]E:6P

分解因式:3x(x-y)3-6y(y-x)
分解因式:3x(x-y)3-6y(y-x)

分解因式:3x(x-y)3-6y(y-x)
=3x(x-y)^3+6y(x-y)
=3(X-Y)(X(X-Y)^2+2Y)
=3(X-Y)(X(X-Y)^2+2Y)
=3(x-y)(x³-2x²y+xy²+2y)

3x(x-y)³-6y(y-x)
=3x(x-y)³+6y(x-y)
=3(x-y)[x(x-y)²+2y]
==3(x-y)(x³-2x²y-xy²+2y)

3(x-y)(3x+2y)

=3x(x-y)3+6y(x-y)
=(x-y)(9x+6y)

青春无名的答案是对的