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Answered

Using suitable identity evaluate the following :188 * 212

Answer :

Given:

[tex]188\times212[/tex]

We know that

[tex]188=200-12\text{ and }212=200+12[/tex]

[tex]188\times212=(200-12)\times(200+12)[/tex]

[tex]\text{ Using identity }(a-b)\times(a+b)=a^2-b^2,\text{ where a=200 and b=12.}[/tex]

[tex]188\times212=200^2-12^2[/tex]

[tex]188\times212=40000-144[/tex]

[tex]188\times212=39856[/tex]

Hence the answer is 39856.

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