奥数计算题:(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2+0.37+0.29+0.17﹚×﹙0.37+0.2﹚

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奥数计算题:(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2+0.37+0.29+0.17﹚×﹙0.37+0.2﹚
奥数计算题:(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2+0.37+0.29+0.17﹚×﹙0.37+0.2﹚

奥数计算题:(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2+0.37+0.29+0.17﹚×﹙0.37+0.2﹚
(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2+0.37+0.29+0.17﹚×﹙0.37+0.29﹚
设0.37+0.29=a
则原式可化为
(a+2)(a+0.17)-(2+a+0.17)a
=a²+0.17a+2a+0.34-2a-a²-0.17a
=0.34
或者
[(0.37+0.29)+2][(0.37+0.29)+0.17]-[2+(0.37+0.29)+0.17](0.37+0.29)
=(0.37+0.29)²+0.17(0.37+0.29)+2(0.37+0.29)+0.34-2(0.37+0.29)-(0.37+0.29)²-0.17(0.37+0.29)
=0.34

(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2+0.37+0.29+0.17﹚×﹙0.37+0.2﹚
=
(0.37+0.29+2)×﹙0.37+0.29+0.17﹚-﹙2﹚×﹙0.37+0.2﹚-
﹙0.37+0.29+0.17﹚×﹙0.37+0.2﹚
=2.09*(0.83)-1.14