Question

How do you compress this?

Answer 1

`\displaystyle\\(a+b)^n\\T_(r+1)=\binom{n}{r}a^(n-r)b^r\\\\\\(x+2)^7\\a=2x\\b=3\\r+1=4\Rightarrow r=3\\n=5\\T_4=\binom{5}{3}\cdot (2x)^(5-3)\cdot3^3\\T_4=(5!)/(3!2!)\cdot 4x^2\cdot27\\T_4=(4\cdot5)/(2)\cdot 4x^2\cdot27\\\\T_4=1080x^2`