23乘74的2次方加46乘74乘26加23乘26的2次方的简便运算'

问题描述:

23乘74的2次方加46乘74乘26加23乘26的2次方的简便运算'

23*74^2+46*74*23+23*26^2=23*(74^2+2*26*74+26^2)=23*(74+26)^2=23*100^2
=230000

原式可看为
23×74^2+23×2×74×26+23×26^2
=23×(74^2+2×74×26+26^2)
=23×(74+26)^2
=23×100^2
=2.3×10^5