Question

$$\frac{ -2+3+ { 72 }^{ 2 } }{ { \left(2+4 \right) }^{ 2 } } - \frac{ 31+ { 62 }^{ 2 } +22 }{ { \left(2+4 \right) }^{ 2 } }$$

Answer

322/9

Solution


Simplify  \({72}^{2}\)  to  \(5184\).
\[\frac{-2+3+5184}{{(2+4)}^{2}}-\frac{31+{62}^{2}+22}{{(2+4)}^{2}}\]
Simplify  \(-2+3\)  to  \(1\).
\[\frac{1+5184}{{(2+4)}^{2}}-\frac{31+{62}^{2}+22}{{(2+4)}^{2}}\]
Simplify  \(1+5184\)  to  \(5185\).
\[\frac{5185}{{(2+4)}^{2}}-\frac{31+{62}^{2}+22}{{(2+4)}^{2}}\]
Simplify  \(2+4\)  to  \(6\).
\[\frac{5185}{{6}^{2}}-\frac{31+{62}^{2}+22}{{6}^{2}}\]
Simplify  \({62}^{2}\)  to  \(3844\).
\[\frac{5185}{{6}^{2}}-\frac{31+3844+22}{{6}^{2}}\]
Simplify  \(31+3844\)  to  \(3875\).
\[\frac{5185}{{6}^{2}}-\frac{3875+22}{{6}^{2}}\]
Simplify  \(3875+22\)  to  \(3897\).
\[\frac{5185}{{6}^{2}}-\frac{3897}{{6}^{2}}\]
Simplify  \({6}^{2}\)  to  \(36\).
\[\frac{5185}{36}-\frac{3897}{36}\]
Simplify  \(\frac{3897}{36}\)  to  \(\frac{433}{4}\).
\[\frac{5185}{36}-\frac{433}{4}\]
Simplify.
\[\frac{1288}{36}\]
Simplify.
\[\frac{322}{9}\]

Decimal Form: 35.777778