Question

(x/3+y/5)^2
do this question by using (a+b)^2

Answer 1

$\sf \:Answer$

Given that simply the following :-

$\boxed{(\frac{x}{3} + \frac{y}{5} ) {}^{2} }$

Using algebraic Identity of (a+b) ²

$\sf(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab$

Similarly,

$\sf(\frac{x}{3} +\frac{y}{5}) {}^{2} = ( \frac{x}{3}) {}^{2} + (\frac{y}{5}) {}^{2}+ 2 \times\frac{x}{3}\times \frac{y}{5}$

$\leadsto \boxed {\frac{x {}^{2} }{9} + \frac{y {}^{2} }{25} + \frac{2xy}{15} }$

Hope this helps you to resolve your problem !!