In the expansion of {(1 + x + {x^3} + {x^4})^ | vedclass

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Question

(d) ${(1 + x + {x^3} + {x^4})^{10}} = {(1 + x)^{10}}\,{(1 + {x^3})^{10}}$

$ = (1 + {}^{10}{C_1}\,.\,x + {}^{10}{C_2}\,.\,{x^2} + .....)(1 + {}^{10}

Vedclass · Accepted Answer

$310$

Vedclass · Answer

(d) ${(1 + x + {x^3} + {x^4})^{10}} = {(1 + x)^{10}}\,{(1 + {x^3})^{10}}$

$ = (1 + {}^{10}{C_1}\,.\,x + {}^{10}{C_2}\,.\,{x^2} + .....)(1 + {}^{10}{C_1}\,.\,{x^3} + {}^{10}{C_2}\,.\,{x^6} + .....)$

$	herefore $ Coefficient of ${x^4}$

$ = \,{}^{10}{C_1}.{}^{10}{C_1} + {}^{10}{C_4} = 310$.

In the expansion of ${(1 + x + {x^3} + {x^4})^{10}},$ the coefficient of ${x^4}$ is

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