Solve {l}{87^{2}-174*67+67^2}{38^2-17^2/47^2-361}

$$\left. \begin{array} { l } { 87 ^ { 2 } - 174 \cdot 67 + 67 ^ { 2 } } \\ { \frac { 38 ^ { 2 } - 17 ^ { 2 } } { 47 ^ { 2 } - 361 } } \end{array} \right.$$

Sort

$$\frac{5}{8},400$$

Solution Steps

Calculate 87 to the power of 2 and get 7569.

$$sort(7569-174\times 67+67^{2},\frac{38^{2}-17^{2}}{47^{2}-361})$$

Multiply 174 and 67 to get 11658.

$$sort(7569-11658+67^{2},\frac{38^{2}-17^{2}}{47^{2}-361})$$

Subtract 11658 from 7569 to get -4089.

$$sort(-4089+67^{2},\frac{38^{2}-17^{2}}{47^{2}-361})$$

Calculate 67 to the power of 2 and get 4489.

$$sort(-4089+4489,\frac{38^{2}-17^{2}}{47^{2}-361})$$

Add -4089 and 4489 to get 400.

$$sort(400,\frac{38^{2}-17^{2}}{47^{2}-361})$$

Calculate 38 to the power of 2 and get 1444.

$$sort(400,\frac{1444-17^{2}}{47^{2}-361})$$

Calculate 17 to the power of 2 and get 289.

$$sort(400,\frac{1444-289}{47^{2}-361})$$

Subtract 289 from 1444 to get 1155.

$$sort(400,\frac{1155}{47^{2}-361})$$

Calculate 47 to the power of 2 and get 2209.

$$sort(400,\frac{1155}{2209-361})$$

Subtract 361 from 2209 to get 1848.

$$sort(400,\frac{1155}{1848})$$

Reduce the fraction \frac{1155}{1848} to lowest terms by extracting and canceling out 231.

$$sort(400,\frac{5}{8})$$

Convert decimal numbers in the list 400,\frac{5}{8} to fractions.

$$400,\frac{5}{8}$$

To sort the list, start from a single element 400.

$$400$$

Insert \frac{5}{8} to the appropriate location in the new list.

$$\frac{5}{8},400$$

Evaluate

$$400,\ \frac{5}{8}$$