用简便方法运算10눀-9눀+8눀-7눀+6눀-5눀+4눀-3눀+2눀-1눀

和1.4눀+2.8×1.6+1.6눀
2025-01-12 03:58:11
推荐回答(2个)
回答(1):

10²-9²+8²-7²+6²-5²+4²-3²+2²-1²
=(10+9)(10-9)+(8+7)(8-7)+(6+5)(6-5)+(4+3)(4-3)+(2+1)(2-1)
=19+15+11+7+3
=55
.
1.4²+2.8×1.6+1.6²
=1.4²+2×1.4×1.6+1.6²
=(1.4+1.6)²
=3²
=9

回答(2):

10²-9²+8²-7²+6²-5²+4²-3²+2²-1²
=(10-9)(10+9)+(8-7)(8+7)+(6-5)(6+5)+(4-3)(4+3)+(2-1)(2+1)
=10+9+8+7+6+5+4+3+2+1
=(10+1)×10÷2
=55

1.4²+2.8×1.6+1.6²
=1.4²+2×1.4×1.6+1.6²
=(1.4+1.6)²
=3²
=9