Question

利用因式分解进行计算

利用因式分解进行计算
1 29.6×0.47+0.32×29.6+2.96×2.1
2 1001²-1001
3 59.99²-59.99× 59.98
4 999²
5 1.22²×9-1.33²×4

Answer 1

1 29.6×0.47+0.32×29.6+2.96×2.1
=29.6×0.47+0.32×29.6+29.6×0.21
=29.6×(0.47+0.32+0.21)
=29.6

2 1001²-1001
=1001×(1001-1)
=1001×1000
=1001000

3 59.99²-59.99× 59.98
=59.99×(59.99- 59.98)
=59.99×0.01
=0.5999

4 999²
=(1000-1)²
=1000000-2000+1
=998000+1
=998001

5 1.22²×9-1.33²×4
=(1.22×3)²-(1.33×2)²
=3.66²-2.66²
=(3.66+2.66)(3.66-2.66)
=6.32