Question

Expand ${(\pi +\frac{22}{7})}^2$ using appropriate identity.

Answer 1

As we know that $(x+y{)}^2=x^2+y^2+2xy$.
Substitute $x=\pi$ and $y=\frac{22}{7}$

${(\pi +\frac{22}{7})}^2={\left(\pi \right)}^2+{\left(\frac{22}{7}\right)}^2+(2\times \pi \times \frac{22}{7})$
$\therefore {(\pi +\frac{22}{7})}^2={\pi }^2+\frac{484}{49}+\frac{44}{7}\pi$