MathematicsMedium64×since 2002Q2927If α\alphaα and β\betaβ be the coefficients of x⁴ and x² respectively in the expansion of (x+x2−1)6+(x−x2−1)6{\left( {x + \sqrt {{x^2} - 1} } \right)^6} + {\left( {x - \sqrt {{x^2} - 1} } \right)^6}(x+x2−1)6+(x−x2−1)6, thenAα+β=60\alpha + \beta = 60α+β=60Bα−β=60\alpha - \beta = 60α−β=60Cα+β=−30\alpha + \beta = -30α+β=−30Dα−β=−132\alpha - \beta = -132α−β=−132Check answerSkip