If n is the degree of the polynomial, [ 2/(√(5x³ + 1) - √(5x³ - 1)) ]⁸ + [ 2/(√(5x³ + 1) + √(5x³ - 1)) ]⁸ and m is the coefficient of xⁿ in it, then the ordered pair (n, m) is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2018 Mathematics question

JEE Main 2018 · 15 Apr, Morning shift · Q2976

JEE Main 201815 Apr, Morning shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

If n is the degree of the polynomial,

{\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} +

{\left[ {{2 \over {\sqrt {5{x^3} + 1} + \sqrt {5{x^3} - 1} }}} \right]^8}

and m is the coefficient of x^n in it, then the ordered pair (n, m) is equal to :

JEE Main 2018 · 15 Apr, Morning shift · Q2976

JEE Main 201815 Apr, Morning shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

If n is the degree of the polynomial,

{\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} +

{\left[ {{2 \over {\sqrt {5{x^3} + 1} + \sqrt {5{x^3} - 1} }}} \right]^8}

and m is the coefficient of x^n in it, then the ordered pair (n, m) is equal to :