सरल करें: `((1.5)^(3)+(4.7)^(3)+(3.8)^(3)-3xx1.5xx4.7xx3.8)/((1.5)^(2)+(4.7)^(2)+(3.8)^(2)-1.5xx4.7-4.7xx3.8-3.8xx1.5)`

Options

A. 0
B. 1
C. 10
D. 30

Answer

C

Explanation

`((1.5)^(3)+(4.7)^(3)+(3.8)^(3)-3xx1.5xx4.7xx3.8)/((1.5)^(2)+(4.7)^(2)+(3.8)^(2)-1.5xx4.7-4.7xx3.8-3.8xx1.5)`
`(1.5+4.7+3.8)`
`implies((1.5^(2)+4.7^(2)+3.8^(2)-1.5xx4.7-4.7xx3.8-3.8xx1.5))/((1.5^(2)+4.7^(2)+3.8^(2)-1.5xx4.7-4.7xx3.7-3.8xx1.5))`
`:. (a^(3)+b^(3)+c^(3)-3abc=(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca)`
`implies 1.5+4.7+3.8implies10.0`
`implies10`