Question

$$\frac{(7\cdot95)^{2}-(2\cdot05)^{2}}{7\cdot95-2\cdot05}$$

Answer

675

Solution


Simplify  \(7\times 95\)  to  \(665\).
\[\frac{{665}^{2}-{(2\times 5)}^{2}}{665-2\times 5}\]
Simplify  \(2\times 5\)  to  \(10\).
\[\frac{{665}^{2}-{10}^{2}}{665-10}\]
Simplify  \({665}^{2}\)  to  \(442225\).
\[\frac{442225-{10}^{2}}{665-10}\]
Simplify  \({10}^{2}\)  to  \(100\).
\[\frac{442225-100}{665-10}\]
Simplify  \(442225-100\)  to  \(442125\).
\[\frac{442125}{665-10}\]
Simplify  \(665-10\)  to  \(655\).
\[\frac{442125}{655}\]
Simplify.
\[675\]