Solve (3+5)^2+(5-1)^2/17^2-15^2

$$\frac { ( 3 + 5 ) ^ { 2 } + ( 5 - 1 ) ^ { 2 } } { 17 ^ { 2 } - 15 ^ { 2 } }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Add 3 and 5 to get 8.

$$\frac{8^{2}+\left(5-1\right)^{2}}{17^{2}-15^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{64+\left(5-1\right)^{2}}{17^{2}-15^{2}}$$

Subtract 1 from 5 to get 4.

$$\frac{64+4^{2}}{17^{2}-15^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{64+16}{17^{2}-15^{2}}$$

Add 64 and 16 to get 80.

$$\frac{80}{17^{2}-15^{2}}$$

Calculate 17 to the power of 2 and get 289.

$$\frac{80}{289-15^{2}}$$

Calculate 15 to the power of 2 and get 225.

$$\frac{80}{289-225}$$

Subtract 225 from 289 to get 64.

$$\frac{80}{64}$$

Reduce the fraction \frac{80}{64} to lowest terms by extracting and canceling out 16.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$