Solve (8*63)^2-(1*37)^2/0.726

$$\frac { ( 8 \cdot 63 ) ^ { 2 } - ( 1 \cdot 37 ) ^ { 2 } } { 0.726 }$$

Evaluate

$$\frac{126323500}{363}\approx 347998.622589532$$

Solution Steps

Multiply 8 and 63 to get 504.

$$\frac{504^{2}-\left(1\times 37\right)^{2}}{0.726}$$

Calculate 504 to the power of 2 and get 254016.

$$\frac{254016-\left(1\times 37\right)^{2}}{0.726}$$

Multiply 1 and 37 to get 37.

$$\frac{254016-37^{2}}{0.726}$$

Calculate 37 to the power of 2 and get 1369.

$$\frac{254016-1369}{0.726}$$

Subtract 1369 from 254016 to get 252647.

$$\frac{252647}{0.726}$$

Expand \frac{252647}{0.726} by multiplying both numerator and the denominator by 1000.

$$\frac{252647000}{726}$$

Reduce the fraction \frac{252647000}{726} to lowest terms by extracting and canceling out 2.

$$\frac{126323500}{363}$$

Factor

$$\frac{467 \cdot 541 \cdot 2 ^ {2} \cdot 5 ^ {3}}{3 \cdot 11 ^ {2}} = 347998\frac{226}{363} = 347998.6225895317$$