已知x+y=6,则x²+xy+6y的值为____.

已知x+y=6,则x²+xy+6y的值为____.
已知x+y=6,则x²+xy+6y的值为____.

已知x+y=6,则x²+xy+6y的值为____.
原式=x(x+y)+6y
=6x+6y
=6(x+y)
=6×6
=36

将y=6-x代入即可得，原式化为x^2+x（6-x）+6（6-x）=36

=x(x+y)+6y
=6x+6y
=6(x+y)
=6×6
=36
已知x+y=6，则x²+xy+6y的值为_36___.