已知x=2分之1,y=-3分之1,求(3x+2y)(3x-2y)-(3x+2y)-(3x-2y)的值
问题描述:
已知x=2分之1,y=-3分之1,求(3x+2y)(3x-2y)-(3x+2y)-(3x-2y)的值
答
(3X+2Y)(3X-2Y)-(3X+2Y)-(3X-2Y) =(9X-4Y)-(9X+12XY+4Y)-(3X-2Y) =9X-4Y-9X-12XY-4Y-(3X-2Y) =-8Y-12XY-3X+2Y 代入X=1/2,Y=-1/3 -8Y-12XY-3X+2Y =-8(-1/3)-12(1/2)(-1/3)-3(1/2)+2(-1/3) =-8/9-2-3/2-2/3 =-91/18