Question

6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1

Answer 1

111111
`*` 1111110 is the simple expression.

Explanation:

The expression to be solved:

`(6,666,666*666,666 )/(1+2+3+4+5+6+5+4+3+2+1) - (777,777*777,777)/(1+2+3+4+5+6+7+6+5+4+3+2+1)`

First of all, let us solve the first term:

`(6,666,666*666,666 )/(1+2+3+4+5+6+5+4+3+2+1)\\\Rightarrow (6666666*666666 )/(36)\\\Rightarrow (6666666*666666 )/(6* 6)\\\Rightarrow 1111111* 111111`

Now, the right term:

`(777777*777777)/(1+2+3+4+5+6+7+6+5+4+3+2+1)\\\Rightarrow (777777*777777)/(49)\\\Rightarrow (777777*777777)/(7 * 7)\\\Rightarrow 111111 * 111111`

So, the expression to be solved becomes:

`1111111* 111111-111111* 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111* 1111110`