Question

$$\frac{(225)^{2}-1}{(15)^{2}+1}$$

Answer

224

Solution


Simplify  \({225}^{2}\)  to  \(50625\).
\[\frac{50625-1}{{15}^{2}+1}\]
Simplify  \(50625-1\)  to  \(50624\).
\[\frac{50624}{{15}^{2}+1}\]
Simplify  \({15}^{2}\)  to  \(225\).
\[\frac{50624}{225+1}\]
Simplify  \(225+1\)  to  \(226\).
\[\frac{50624}{226}\]
Simplify.
\[224\]