奥数！47263.4的平方+47263.5的平方-47263.3*47263.5-47263.4*4726306=？

47263.4^2+47263.5^2-47263.3*47263.5-47263.4*47263.6
=(47263.4^2-47263.4*47263.6)+(47263.5^2-47263.3*47263.5)
=47263.4*(47263.4-47263.6)+47263.5*(47263.5-47263.3)
=47263.4*(-0.2)+47263.5*0.2
=0.2*(47263.5-47263.4)
=0.2*0.1
=0.02

47263.4的平方+47263.5的平方-47263.3*47263.5-47263.4*47263.6
＝（47263.4-47263.5）^2-47263.4*0.1
=0.01-4726.34
=-4726.33

'47263.4*4726306'应该是‘47263.4*47263.6’吧
要是这样就很好做

为了下边写的方便,令47263.4=X,47263.5=X+0.1,47263.6=X+0.2
>>>>>x^2+(x+0.1)^2-x*(x+0.1)-x(x+0.2)
=====x^2+(x+0.1)^2-x*(x+0.1)-x(x+0.1+0.1)
=====x^2+(x+0.1)^2-x*(x+0.1)-x(x+0.1)-0.1x
=====[x-(x+0.1)]^2+0.1x=0.01-4726.34=-4726.33

47263.4的平方+47263.5的平方-47263.3*47263.5-47263.4*47263.6
=47263.4的平方+47263.5的平方-（47263.4-0.1）*47263.5-47263.4*（47263.5+0.1）
=47263.4的平方+47263.5的平方-2*47263.4*47263.5+47263.5*0.1-47263.4*0.1
=（47263.5-47263.4）^2+4726.35-4726.34
=0.1^2+0.01
=0.02