已知：3x+2y=13,2x-3y=0.求x^2+x-2/x^2+4x+4除以x^2+2x-3/x^2-4乘于x^2+6x+9/x^2-xy-2x+2y的值请高手帮我算出来 急啊急啊
问题描述：
已知：3x+2y=13,2x-3y=0.求x^2+x-2/x^2+4x+4除以x^2+2x-3/x^2-4乘于x^2+6x+9/x^2-xy-2x+2y的值
请高手帮我算出来 急啊急啊
答
x=3
y=2
答
∵3x+2y=13,2x-3y=0 ∴x=3,y=2 [(x^2+x-2)/(x^2+4x+4)]÷[(x^2+2x-3)/(x^2-4)]×[(x^2+6x+9)/(x^2-xy-2x+2y)] =[(x+2)(x-1)/(x+2)(x+2)]×[(x+2)(x-2)/(x+3)(x-1)]×[(x+3)(x+3)/(x-y)(x-2)] =(x+3)/(x-y) =(3+3)/(3-2) =6