using suitable identity . find the value of ,1. 104×97 ,2. 94³
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using suitable identity . find the value of ,1. 104×97 ,2. 94³
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=(100+4)(100+(-3))
Using the identity
(x+a) (x+b) =x²+(a+b)x+ab
=100²+(4-3)100+4(-3)
=10000+100-12
=10100-12
=10988
94³
=(100-4)³
Using the identity
(a-b)³=a³-b³-3a²b+3ab²
=100³-4³-3(100²)4+3(100)4²
=1000000-64-120000+4800
=1004800-120064
=884736