Question

expand the following(a/2+b/3)³​

Answer 1

Answer:

$\frac{27 {a}^{3} + 8 {b}^{3} + 54 {a}^{2} b + 36 {b}^{2} a }{216}$

Exaplanation :-

$( \frac{a}{2} + \frac{b}{3} )^{3}$

$= \frac{ {a}^{3} }{8} + \frac{ {b}^{3} }{27} + \frac{3 {a}^{2}b }{12} + \frac{3 {b}^{2}a }{18}$

$= \frac{ {a}^{3} }{8} + \frac{ {b}^{3} }{27} + \frac{ {a}^{2} b}{4} + \frac{ {b}^{2} a}{6}$

$= \frac{27 {a}^{3} + 8 {b}^{3} + 54 {a}^{2} b + 36 {b}^{2}a }{216}$