Question

$$\frac{(379+276)^{2}+(379-276)^{2}}{(379\times379)+(276\times276)}$$

Answer

2

Solution


Simplify  \(379+276\)  to  \(655\).
\[\frac{{655}^{2}+{(379-276)}^{2}}{379\times 379+276\times 276}\]
Simplify  \(379-276\)  to  \(103\).
\[\frac{{655}^{2}+{103}^{2}}{379\times 379+276\times 276}\]
Simplify  \({655}^{2}\)  to  \(429025\).
\[\frac{429025+{103}^{2}}{379\times 379+276\times 276}\]
Simplify  \({103}^{2}\)  to  \(10609\).
\[\frac{429025+10609}{379\times 379+276\times 276}\]
Simplify  \(429025+10609\)  to  \(439634\).
\[\frac{439634}{379\times 379+276\times 276}\]
Simplify  \(379\times 379\)  to  \(143641\).
\[\frac{439634}{143641+276\times 276}\]
Simplify  \(276\times 276\)  to  \(76176\).
\[\frac{439634}{143641+76176}\]
Simplify  \(143641+76176\)  to  \(219817\).
\[\frac{439634}{219817}\]
Simplify.
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