Solve 9^2+-(75div15+5^2)--(6^2div9-37)

$$9 ^ { 2 } + - ( 75 \div 15 + 5 ^ { 2 } ) - - ( 6 ^ { 2 } \div 9 - 37 )$$

Evaluate

$$18$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$81-\left(\frac{75}{15}+5^{2}\right)-\left(-\left(\frac{6^{2}}{9}-37\right)\right)$$

Divide 75 by 15 to get 5.

$$81-\left(5+5^{2}\right)-\left(-\left(\frac{6^{2}}{9}-37\right)\right)$$

Calculate 5 to the power of 2 and get 25.

$$81-\left(5+25\right)-\left(-\left(\frac{6^{2}}{9}-37\right)\right)$$

Add 5 and 25 to get 30.

$$81-30-\left(-\left(\frac{6^{2}}{9}-37\right)\right)$$

Subtract 30 from 81 to get 51.

$$51-\left(-\left(\frac{6^{2}}{9}-37\right)\right)$$

Calculate 6 to the power of 2 and get 36.

$$51-\left(-\left(\frac{36}{9}-37\right)\right)$$

Divide 36 by 9 to get 4.

$$51-\left(-\left(4-37\right)\right)$$

Subtract 37 from 4 to get -33.

$$51-\left(-\left(-33\right)\right)$$

The opposite of -33 is 33.

$$51-33$$

Subtract 33 from 51 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$