-
The value of
0.9 × 0.9 × 0.9 + 0.2 × 0.2 × 0.2 + 0.3 × 0.3 × 0.3 − 3 × 0.9 × 0.2 ×0.3 is 0.9 × 0.9 + 0.2 × 0.2 + 0.3 × 0.3 − 0.9 × 0.2 − 0.2 × 0.3 − 0.3 × 0.9
-
- 1.4
- 0.054
- 0.8
- 1.0
Correct Option: A
Using (x) of Basic Formulae
Let 0.9 = x, 0.2 = y and 0.3 = z
Then, the given expression
| x × x + y × y + z × z − x × y − y × z − z × x |
| = | |
| x2 + y2 + z2 − xy − yz − zx |
| = | |
| x2 + y2 + z2 − xy − yz − zx |
= x + y + z
= 0.9 + 0.2 + 0.3 = 1.4
