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Question

Preeti has solved a question in her exam using the following method. In which step has she gone wrong and what is the correct answer obtained after the calculation?
Question: (2p)3+3p3=11p3+a. Find the value of a.
step i: 6p3+3p3=11p3+a
Step ii: 9p3=11p3+a
step iii: 2p3=a


A

i,

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B

ii,

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C

i, 0

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D

iii, 0

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Solution

The correct option is C

i, 0


(2p)3+3p3=11p3+a
step i: 8p3+3p3=11p3+a
Step ii: 11p3=11p3+a
step iii: a = 0. So, step i is wrong as (2p)3 is not equal to 6p3 but (2p)3 equals 8p3.


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