计算:2003² 98²

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计算:2003² 98²

计算:2003² 98²
计算:2003² 98²

计算:2003² 98²
98^2
=(100-2)^2
=10000-400+4
=9602

2003^2
=(2000+3)^2
=4000000+12000+9
=4012009

2003²
=(2000+3)²
=2000²+2x2000x3+3²
=4000000+12000+9
=4012009
98²
=(100-2)²
=100²-2x100x2+2²
=10000-400+4
=9600+4
=9604
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2003²
=(2000+3)²
=4000000+12000+9
=4012009
98²
=(100-2)²
=10000-400+4
=9604

2003²
=(2000+3)^2
=2000^2+2x2000x3+3^2
=4000000+12000+9
=4012009

98²
=(100-2)^2
=100^2-2x2x100+2^2
=10000-400+4
=9604

2003^2 =(2000+3)^2=2000^2+2*3*2000+9
=4000000+12000+9
=4012009

98^2=(100-2)^2=100^2-2*2*100+4
=10000-400+4
=9604

2003²
=(2000+3)²
=2000²+2x2000x3+3²
=4000000+12000+9
=4012009

98²
=(100-2)²
=100²-2x2x100+2²
=10000-400+4
=9604
类似这种整百前后的数字,都是用这种方法

2003² =(2000+3)²=2000²+2×3×2000+9=4000000+12000+9=4012009;
98²=(100-2)²=100²-2×100×2+4=10000-400+4=9604.

2003²=2003(2000+3)=2003*2000+2003*3=4006000+6009=4012009
98²=98(100-2)=98*100-98*2=9800-196=9800-200+4=9604

2003^2=(2000+3))^2=2000^2+3^2+2*2000*3=4012009
98^2=(100-2)^2=100^2+2^2-2*100*2=9604

应用完全平方公式:(a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²