Question

Using suitable identity evaluate the following :188 * 212

Answer 1

Given:

`188*212`

We know that

`188=200-12\text{ and }212=200+12`

`188*212=(200-12)*(200+12)`

`\text{ Using identity }(a-b)*(a+b)=a^2-b^2,\text{ where a=200 and b=12.}`

`188*212=200^2-12^2`

`188*212=40000-144`

`188*212=39856`

Hence the answer is 39856.