सरल करें: `((0.96)^(3)-(0.1)^(3))/((0.96)^(2)+0.096+(0.1)^(2))`

Options

A. `1.06`
B. `0.95`
C. `0.86`
D. `0.97`

Answer

C

Explanation

`(0.96^(3)-0.1^(3))/(0.96^(3)+0.096+0.1^(2))`
`implies a=0.96`
`implies b=0.1`
`implies(a^(3)-b^(3))/(a^(2)+ab+b^(2))`
`implies ((a-b)(a^(2)+b^(2)+ab))/((a^(2)+ab+b^(2))`
`implies a-b`
`implies0.96-0.1=0.86`