问题
选择题
若(ax+3y)2=4x2-12xy+by2,则a、b的值分别为 ( )
A.2,9
B.2,-9
C.-2,9
D.-4,9
答案
答案:C
∵(ax+3y)2=a2x2+6axy+9y2,∴a2x2+6axy+9y2=4x2-12xy+by2,∴6a=-12,b=9,解得a=-2,b=9.故选C.
若(ax+3y)2=4x2-12xy+by2,则a、b的值分别为 ( )
A.2,9
B.2,-9
C.-2,9
D.-4,9
答案:C
∵(ax+3y)2=a2x2+6axy+9y2,∴a2x2+6axy+9y2=4x2-12xy+by2,∴6a=-12,b=9,解得a=-2,b=9.故选C.