Question

Simplify (x/2+y/3)^3

Answer 1

please mark as brainlist answer

Answer 2

Step-by-step explanation:

$( \frac{x}{2} + \frac{y}{3})^{3}$

Formula :-

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

$a = \frac{x}{2} \: \: and \: \: b = \frac{y}{3}$

$\scriptsize( \frac{x}{2} )^{3} + 3 ({ \frac{x}{2} })^{2} ( \frac{y}{3} ) + 3( \frac{x}{2}) ( \frac{y}{3})^{2} + ({ \frac{y}{3} })^{3}$

$\scriptsize\frac{x^{3} }{8} + 3( \frac{ {x}^{2} }{4})( \frac{y}{3}) + 3( \frac{x}{2})( \frac{ {y}^{2} }{9}) + ( \frac{ {y}^{3} }{27})$

$\frac{ {x}^{3} }{8} + \frac{3 {x}^{2} y}{12} \: + \frac{3x {y}^{2}}{18} + \frac{ {y}^{3} }{27}$

$\frac{ {x}^{3} }{8} + \frac{ {x}^{2}y }{4} \: + \frac{x {y}^{2} }{6} + \frac{{y}^{3} }{27}$

I hope it is helpful