Evaluate the following using suitable identity
10.2^3
10.2 = 10 + 0.2
Implies, 10.2^3 = (10 + 0.2)^3
(a+b)^3 = a^3 + b^3 + 3ab(a + b)
Implies, [10^3 + 0.2^3 + 3*10*0.2(10 + 0.2) ]
= [10000 + 0.008 + 6(10.2)]
= [10000.008 + 61.2]
= [10061.208]
Implies, 10.2^3 = (10 + 0.2)^3
(a+b)^3 = a^3 + b^3 + 3ab(a + b)
Implies, [10^3 + 0.2^3 + 3*10*0.2(10 + 0.2) ]
= [10000 + 0.008 + 6(10.2)]
= [10000.008 + 61.2]
= [10061.208]