Question

simplify the following products by expressing this as a difference of two squares
107*93

Answer 1

107*93
=(100+7)*(100-7)
=100^2-7^2 (a^2-b^2=(a+b)(a-b))
=10000-49
=9951

Answer 2

( 107 ) ( 93 )


Splitting number to convert in the identity ( a + b ) ( a - b )


( 100 + 7 ) ( 100 - 7 )




Assuming a = 100 and b = 7

According to the identity, ( a + b ) ( a - b ) = a^2 - b^2


It will be 100^2 - 7^2





Hence,

( 107 × 93 )


=> ( 100 + 7 ) ( 100 - 7 )

=> ( 100 )^2 - ( 7 )^2

=> ( 100 × 100 ) - ( 7 × 7 )

=> 10000 - 49

=> 9951






$\boxed{ \bold{ \underline{ \: value \: o f \: 107 \times 93 \: \: is \: 9951}}}$