Solve (9^2+3^2+8^2+8^2+{9}^2+{8}^2+{9}^2+{18}^2)-(9+3+8+8+9+8+9+18)

$$( { 9 }^{ 2 } + { 3 }^{ 2 } + { 8 }^{ 2 } + { 8 }^{ 2 } + { 9 }^{ 2 } + { 8 }^{ 2 } + { 9 }^{ 2 } + { 18 }^{ 2 } )-(9+3+8+8+9+8+9+18)$$

Evaluate

$$696$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$81+3^{2}+8^{2}+8^{2}+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 3 to the power of 2 and get 9.

$$81+9+8^{2}+8^{2}+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Add 81 and 9 to get 90.

$$90+8^{2}+8^{2}+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 8 to the power of 2 and get 64.

$$90+64+8^{2}+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Add 90 and 64 to get 154.

$$154+8^{2}+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 8 to the power of 2 and get 64.

$$154+64+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Add 154 and 64 to get 218.

$$218+9^{2}+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 9 to the power of 2 and get 81.

$$218+81+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Add 218 and 81 to get 299.

$$299+8^{2}+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 8 to the power of 2 and get 64.

$$299+64+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Add 299 and 64 to get 363.

$$363+9^{2}+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 9 to the power of 2 and get 81.

$$363+81+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Add 363 and 81 to get 444.

$$444+18^{2}-\left(9+3+8+8+9+8+9+18\right)$$

Calculate 18 to the power of 2 and get 324.

$$444+324-\left(9+3+8+8+9+8+9+18\right)$$

Add 444 and 324 to get 768.

$$768-\left(9+3+8+8+9+8+9+18\right)$$

Add 9 and 3 to get 12.

$$768-\left(12+8+8+9+8+9+18\right)$$

Add 12 and 8 to get 20.

$$768-\left(20+8+9+8+9+18\right)$$

Add 20 and 8 to get 28.

$$768-\left(28+9+8+9+18\right)$$

Add 28 and 9 to get 37.

$$768-\left(37+8+9+18\right)$$

Add 37 and 8 to get 45.

$$768-\left(45+9+18\right)$$

Add 45 and 9 to get 54.

$$768-\left(54+18\right)$$

Add 54 and 18 to get 72.

$$768-72$$

Subtract 72 from 768 to get 696.

$$696$$

Factor

$$2^{3}\times 3\times 29$$