please help me in MCQ please answer please tell correct answer please don't play please tell correct answer
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Answer: 1. b = 1/4 (c). 2. (c) 3abc.
Explanation:
1. Given that,
49x^2 - b = (7x + 1/2)(7x - 1/2)
Simplifying the RHS:-
(7x + 1/2)(7x - 1/2)
= (7x)^2 - (1/2)^2
= 49x^2 - 1/4
Since, 49x^2 - b ⇔ 49x^2 - 1/4, so by comparing b = 1/4. (c).
2. Given that (a + b + c) = 0.
We know,
a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)
⇒ a^3 + b^3 + c^3 - 3abc = 0.(a^2 + b^2 + c^2 - ab - bc - ca)
⇒a^3 + b^3 + c^3 = 3abc (c).
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