If a \cos ^{3} \\alpha+3 a \cos \\alpha \sin ^{2} \\alpha=m and a \sin ^{3} \\alpha+3 a \cos ^{2} \\alpha \sin \\alpha=n then (m+n)^{2 \/ 3}+(m-n)^{2 \/ 3} is equal to

Manipal Entrance Test 2014 Math Paper

Question : 12 of 80

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If acos3α+3a‌cos‌α‌sin2‌α=m and asin3α+3acos2α‌sin‌α=n then (m+n)2∕3+(m−n)2∕3 is equal to

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