Mathematics
NULL
Medium
Question
The value of (2.75)³ − (2.00)³ − (0.75)³ is ________?
A
3 * 2.75 * 2.75 * 2.75
B
3 * 2.00 * 2.00 * 2.00
C
3 * 2.75 * 0.75 * 2.75
D
4.5 * 2.75
✓ Official correct answer
Community credibility
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A
3 * 2.75 * 2.75 * 2.75
No member explanations yet for this option.
B
3 * 2.00 * 2.00 * 2.00
No member explanations yet for this option.
C
3 * 2.75 * 0.75 * 2.75
No member explanations yet for this option.
D
4.5 * 2.75
No member explanations yet for this option.
Explanation
Since 2.75 = 2 + 0.75, use a³ − b³ − c³ = 3abc when a = b + c: 3 × 2.75 × 2 × 0.75 = 4.5 × 2.75.