`((0.1)^(3)+(0.2)^(3)+(0.3)^(2)-3xx0.1xx0.2xx0.3)/((0.1)^(2)+(0.2)^(2)+(0.3)^(2)_0.1xx0.2-0.2xx0.3-0.3xx0.1)` का मान ज्ञात करें।

Options

A. `0.006`
B. `0.6`
C. `0`
D. `0.2`

Answer

B

Explanation

According to the question
`implies(0.1xx0.1xx0.1+0.2xx0.2xx0.2+0.3xx0.3xx0.3-3xx0.1xx0.2xx0.3)/(0.1xx0.1+0.2xx0.2+0.3xx0.3-0.1xx0.2-0.2xx0.3-0.3xx0.1)`
As we know that
`a^(3)+b^(3)+c^(3)-3abc=(a+b+c)`
`(a^(2)+b^(2)+c^(2)-ab-bc-ca)`
`implies ((0.1)^(2)+(0.2)^(2)+(0.3)^(3)-3xx0.1xx0.2xx0.3)/((0.1)^(2)+(0.2)^(2)+(0.3)^(2)-0.1xx0.2-0.2xx0.3-0.3xx0.1)`
`implies([0.1+0.2+0.3((0.1)^(2)+(0.2)^(2)-0.1xx0.2-0.2xx0.3-0.3xx0.1)])/(((0.1)^(2)+(0.2)^(2)+(0.3)^(2)-1.1xx0.2-0.2xx0.3-0.3xx0.1))`
`implies0.1+0.2+0.3=0.6`