分解因式用配方法 6x^2-11xy+3y^2配方法例题x^2+2*x*4+4^2-4^2+12=(x-4)^2-4=(x-4+_数学解答

分解因式用配方法 6x^2-11xy+3y^2
配方法例题
x^2+2*x*4+4^2-4^2+12
=(x-4)^2-4
=(x-4+2)(x-4-2)
=(x-2)(x-6)

人气：480 ℃　时间：2020-07-19 15:40:01

解答

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)