Question
The value of (2.75)³ – (2.00)³ – (0.75)³ is__________?
Answer: Option D
(2.75)³ – (2.00)³ – (0.75)³
A³ + B³ + C³ = (A + B + C)(A³ + B³ + C³ – AB – BC – CA)
IF A + B + C = 0 THEN A³ + B³ + C³ = 3ABC
HENCE 2.75 – 2.00 – 0.75 = 0
SO, (2.75)³ – (2.00)³ – (0.75)³
= 3 * 2.75 * 2 * 0.75 = 3 * 1.5 * 2.75
= 4.5 * 2.75
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(2.75)³ – (2.00)³ – (0.75)³
A³ + B³ + C³ = (A + B + C)(A³ + B³ + C³ – AB – BC – CA)
IF A + B + C = 0 THEN A³ + B³ + C³ = 3ABC
HENCE 2.75 – 2.00 – 0.75 = 0
SO, (2.75)³ – (2.00)³ – (0.75)³
= 3 * 2.75 * 2 * 0.75 = 3 * 1.5 * 2.75
= 4.5 * 2.75
Was this answer helpful ?
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