For the natural numbers m, n, if (1 - y)^(m) (1 + y)ⁿ = 1 + a₁y + a₂y² +.... + a m + n y^(m + n) and a₁ = a₂ = 10, then the value of (m + n) is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Evening shift · Q2997

JEE Main 202120 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

For the natural numbers m, n, if

{(1 - y)^m}{(1 + y)^n} = 1 + {a_1}y + {a_2}{y^2} + .... + {a_{m + n}}{y^{m + n}}

and

{a_1} = {a_2} = 10

, then the value of (m + n) is equal to :

JEE Main 2021 · 20 Jul, Evening shift · Q2997

JEE Main 202120 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

For the natural numbers m, n, if

{(1 - y)^m}{(1 + y)^n} = 1 + {a_1}y + {a_2}{y^2} + .... + {a_{m + n}}{y^{m + n}}

and

{a_1} = {a_2} = 10

, then the value of (m + n) is equal to :