Symbiosis National Aptitude Test SNAP 2018 Paper

Question : 69 of 130

Marks: +1, -0

Ramesh is trying to Simplify the expression

(p + q)^3 - (p - q)^3 - 6 q(p^2-q^2)

and if q = 1.
You helped him and the solution arrived was_____

Solution:

(p + q)^3 - ( p - q)^3

6q (p^2 - q^2)

p^3 + q^3 + 3p^3q + 3pq^2

p^3 + q^3 - 3pq^2 + 3p^2q

6p^2q + 6 q^3

8 q^3

8(1)^3

= 8

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