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Question 69
Ramesh is trying to Simplify the expression
$$(p + q)^3 - (p -q)^3 - 6q(p^2 - q^2)$$ and if $$q = 1$$-
You helped him and the solution arrived was..........
Correct Answer: 8
Solution
($$p^3+3p^2q+3pq^2+q^3$$) - ($$p^3-3p^2q+3pq^2-q^3$$) - ($$6q(p^2 - q^2)$$)
=$$6p^2q+2q^3-6q(p^2-q^2)$$
= 8$$q^3$$
=8 (Since q = 1)
8 is the correct answer.
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