Question

Evalute 100*96 without actually multiplying

Answer 1

= 100*96

=100*(100-4)

=10000-400

=9600

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Answer 2

$\text{ In this , Identities are used }$

$\text{ 104 can be written as = ( 100 + 4 )}$

And,

$\text{ 96 can be written as = ( 100 - 4 ) }$

$\tt{ ( 100 + 4 )( 100 - 4 )}$

$\tt{ (100{)}^{2} - (4{)}^{2} }$

$\bigg[ \text{ This is of the form } \rm{ (a + b )( a - b ) = {a}^{2} - {b}^{2} \bigg] }$

$\implies{\tt{ 10, 000 - 16 }}$

$\implies{\tt{ 9984 }}$