56*46+46*56+46的简便运算

问题描述:

56*46+46*56+46的简便运算

46*(56+56+1)
=46*113
=5198

56*46+46*56+46
=46*(56+56+1)
=46*(50+6+50+6+1)
=46*(100+10+3)
=46*100+46*10+46*3
=4600+460+138
=5060+138
=5198

46*(56+56+1)
=46*113
=46*(100+10+3)
=4600+460+138
=5060+138
=5198
56*46+46*56+46
=(51+5)*(51-5) + (51-5)*(51+5) + 46
=2*51^2 - 2* 5^2 + 46 = ...

46*(56+56+1)
=46*(100+10+3)
=46*100+46*10+46*3
=4600+460+138
=5198

56*46+46*56+46
=56x(46+56+1)
=56x(100+3)
=56x100+56x3
=5600+168
=5768