1、4-12（x-y）+9（x-y）^2=（）^2

题目

1、4-12（x-y）+9（x-y）^2=（）^2
简便计算：
2、1.2345^2+1.7655^2+2.469*0.7655
先化简,后求值.
3、已知x^2-x=5,求2x(x-1)-(2x-1)^2的值.
4、已知|x+2y+1|+(2x-y-2)^2=0,求(2x-y)^2-2(2x-y)+(2x+y)^2的值.

答案

(1)4-12（x-y）+9（x-y）^2=（3(x-y)-2）^2
(2)1.2345^2+1.7655^2+2.469*0.7655=1.2345^2+(1+0.7655)^2+2*1.2345*0.7655
=1+2*0.7655+0.7655^2+1.2345^2+2*1.2345*0.7655=4+1.531=5.531
(3)x^2-x=x(x-1)=5, 2x(x-1)-(2x-1)^2=10-4x^2+4x-1=9-4x(x-1)=-11
(4)因为|x+2y+1|+(2x-y-2)^2=0
所以x+2y+1=0, 2x-y-2=0
2x-y=2,x+2y=-1,x=3/5 y=-4/5
(2x-y)^2-2(2x-y)+(2x+y)^2=4-4+4/25=4/25