Question

Find the middle term (s) in the expansion of the following
${(\frac{a}{b}+\frac{a}{b})}^6$

Answer 1

${(\frac{a}{b}+\frac{a}{b})}^6$

$\therefore$ middle term in expansion of given terms are $3^{rd}$ and $4^{th}$ term

$3^{rd}$ term$={}^6{C}_2{\left(\frac{a}{b}\right)}^2{\left(\frac{a}{b}\right)}^4={}^6{C}_2{\left(\frac{a}{b}\right)}^6$

$4^{th}$ term$={}^6{C}_3{\left(\frac{a}{b}\right)}^3{\left(\frac{a}{b}\right)}^3={}^6{C}_3{\left(\frac{a}{b}\right)}^6$.