Solve (5+5)^2/(10-5)^2+3^2

$$\frac { ( 5 + 5 ) ^ { 2 } } { ( 10 - 5 ) ^ { 2 } } + 3 ^ { 2 }$$

Evaluate

$$13$$

Solution Steps

Add 5 and 5 to get 10.

$$\frac{10^{2}}{\left(10-5\right)^{2}}+3^{2}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{100}{\left(10-5\right)^{2}}+3^{2}$$

Subtract 5 from 10 to get 5.

$$\frac{100}{5^{2}}+3^{2}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{100}{25}+3^{2}$$

Divide 100 by 25 to get 4.

$$4+3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$4+9$$

Add 4 and 9 to get 13.

$$13$$

Factor

$$13$$