Simplification & Approximation Mcqs

Engineering MCQs CBSE MCQs

Q.  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


ANSWER: See Answer
 
(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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