`(0.98)^(3)+(0.02)^(3)+3xx0.98xx0.02-1` का मान क्‍या है?

Options

A. `1.98`
B. `1.09`
C. `1`
D. `0`

Answer

D

Explanation

`implies(0.98)^(3)+(0.02)^(3)+3xx0.98xx0.02-1`
`=(0.98)^(3)+(0.02)^(3)+3xx0.98xx0.02(0.98+0.02)-1`
`[ :' (a+b)^(3)=a^(3)+b^(3)+3ab(a+b)]`
`implies (0.98+0.02)^(3)-1`
`=(1)^(3)-1=0`
Alternate
`a=0.98`
`b=0.02`
`c=-1`
`a+b+(-c)=0`
So `a^(3)+b^(3)+(-c)^(3)-3abc=0`