43×47+57×37+57能简便远算吗？如果能，应该怎样简便计算？

Question

快点啊！求求了

Answer 1

能简便的了。
解：43X47+57X37+57
=43X47+(47+10)(47--10)+57
=43X47+47^2--10^2+57
=47(43+47)--100+57
=47X90--43
=4230--43
=4187。

Answer 2

可以简化解：
43×47+57×37+57
=43×(57-10)+57×37+57
=43×57-43x10+57×37+57
=43×57+57×37+57-43x10
=57x(43+37)+57-43x10
=57x80-43x10+57
=4560-430+57
=4130+57
=4187

Answer 3

解：
43×47+57×37+57
=43×(57-10)+57×37+57
=43×57-43x10+57×37+57
=43×57+57×37+57-43x10
=57x(43+37)+57-43x10
=57x80-43x10+57
=4560-430+57
=4130+57
=4187

Answer 4

原式=（47-4）*47+（47+10）*（47-10）+47+10
=2*47^2-3*47-90
=(2*47-1)*(47-1)-91
=93*46-91
=93*45+2
=4187
应该够简化了吧~

Answer 5

43×47+57×37+57
=(100-57)×47+57×37+57
=4700-57×(47-37)+57
=4700-570+57
=4187