Question

67×67+2×67×33+33×33简便运算过程？

Answer 1

67×67+2×67×33+33×33简便运算过程：
可以看到2×67=67+67，所以
67×67+2×67×33+33×33
=67×67+67×33+67×33+33×33
=67×(67+33)+(67+33)×33
=6700+3300
=10000
将67×2变成67+67，这样与后面一项也可以变成整百运算。

Answer 2

67×67+2×67×33+33×33简便运算过程如下：
67×67+2×67×33+33×33
=（67×67+67×33）+（67×33+33×33）
=67×100+33×100
=6700+3300
=10000

Answer 3

依据题意列式计算如下：
67×67+2×67×33+33×33
＝（67+33）²
＝100²
＝10000
利用平方和公式进行简便计算。

Answer 4

<（67+33）^2>*2*67*33
少一个67不能合成三个有点麻烦
上面是最简单

Answer 5

67x67+2x67x33+33x33
=67x67+(67+67)x33+33x33
=67x67+67x33+67x33+33x33
=67x(67+33)+(67+33)x33
=67x100+100x33
=(67+33)x100
=100x100
=10000