简便计算 4分之1×6.16²-4×1.04²

题目

简便计算 4分之1×6.16²-4×1.04²

答案

4分之1×6.16²-4×1.04²
=(2分之1)²×6.16²-2²×1.04²
=(2分之1×6.16)²-(2×1.04)²
=3.13²-2.08²
=(3.13+2.08)×(3.13-2.08)
=5.21×1.05
=5.21×(1+0.05)
=5.21×1+5.21×0.05
=5.21+0.2605
=5.4705
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