Question

Use identity to get the product of $(\frac{x}{2}+\frac{3y}{4})(\frac{x}{2}+\frac{3y}{4})$

Answer 1

$(\frac{x}{2}+\frac{3y}{4})(\frac{x}{2}+\frac{3y}{4})={(\frac{x}{2}+\frac{3y}{4})}^2$
$={\left(\frac{x}{2}\right)}^2+2\left(\frac{x}{2}\right)\left(\frac{3y}{4}\right)+{\left(\frac{3y}{4}\right)}^2$
[Using : $(a+b{)}^2=a^2+2ab+b^2$]
$=\frac{x^2}{4}+\frac{3xy}{4}+\frac{9y^2}{16}$