Question

分解因式 用配方法 6x^2-11xy+3y^2

Answer 1

6x^2-11xy+3y^2、

=6(x^2-11xy/6+y^2/2)

=6(x^2-11xy/6+121y^2/144-121y^2/144+y^2/2)

=6[(x-11y/12)^2-49y^2/144]

=6(x-11y/12+7y/12)(x-11y/12-7y/12)

=3(x-y/3)*2(x-3y/2)

=(3x-y)(2x-3y)