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Engineering
5 months, 3 weeks ago

find the general trem in the expansion of

find the general trem in the expansion of $(x^{2} - yx)^{12}$
$\\General\: Term\: of\: (a+b)^n \:\:is\: T_n=^{n}\textrm{C}_{r}a^{n-r}b^r \\ put \:n=12,a=x^2,b=-yx \\ T_{r+1}=^{12}\textrm{C}_{r}(x^2)^{12-r}(-yx)^r\\After \:simplifying \\ T_{r+1}=(-1)^r.^{12}\textrm{C}_{r}x^{24-r}y^r$