用完全平方公式计算100.2² 98×98 37² (20又2/1)² 2008² (14又4/3)²
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![用完全平方公式计算100.2² 98×98 37² (20又2/1)² 2008² (14又4/3)²](/uploads/image/z/957032-8-2.jpg?t=%E7%94%A8%E5%AE%8C%E5%85%A8%E5%B9%B3%E6%96%B9%E5%85%AC%E5%BC%8F%E8%AE%A1%E7%AE%97100.2%26%23178%3B+98%C3%9798+37%26%23178%3B+%EF%BC%8820%E5%8F%882%2F1%EF%BC%89%26%23178%3B+2008%26%23178%3B+%EF%BC%8814%E5%8F%884%2F3%29%26%23178%3B)
用完全平方公式计算100.2² 98×98 37² (20又2/1)² 2008² (14又4/3)²
用完全平方公式计算100.2² 98×98 37² (20又2/1)² 2008² (14又4/3)²
用完全平方公式计算100.2² 98×98 37² (20又2/1)² 2008² (14又4/3)²
100.2²
=100² +2×100×0.2+0.2²
=10000+40+0.04
=10400.004
98×98
=(100-2)²
=100² -2×100×2+2²
=10000-400+4
=9604
37²
=(40-3)²
=40² -2×40×3+3²
=1600-240+9
=1369
(20又2/1)²
=20² +2×20×1/2+1/2²
=400+20+1/4
=420又1/4
2008²
=2000² +2×2000×8+8²
=4000000+32000+64
=4032064
(14又3/4)²
=15² -2×15×1/4+1/4²
=225-15/4+1/16
=221又5/16