Solve 3^2+2^2+1^2+1^2+{2}^2+{2}^2+{3}^2

$${ 3 }^{ 2 } + { 2 }^{ 2 } + { 1 }^{ 2 } + { 1 }^{ 2 } + { 2 }^{ 2 } + { 2 }^{ 2 } + { 3 }^{ 2 }$$

Evaluate

$$32$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9+2^{2}+1^{2}+1^{2}+2^{2}+2^{2}+3^{2}$$

Calculate 2 to the power of 2 and get 4.

$$9+4+1^{2}+1^{2}+2^{2}+2^{2}+3^{2}$$

Add 9 and 4 to get 13.

$$13+1^{2}+1^{2}+2^{2}+2^{2}+3^{2}$$

Calculate 1 to the power of 2 and get 1.

$$13+1+1^{2}+2^{2}+2^{2}+3^{2}$$

Add 13 and 1 to get 14.

$$14+1^{2}+2^{2}+2^{2}+3^{2}$$

Calculate 1 to the power of 2 and get 1.

$$14+1+2^{2}+2^{2}+3^{2}$$

Add 14 and 1 to get 15.

$$15+2^{2}+2^{2}+3^{2}$$

Calculate 2 to the power of 2 and get 4.

$$15+4+2^{2}+3^{2}$$

Add 15 and 4 to get 19.

$$19+2^{2}+3^{2}$$

Calculate 2 to the power of 2 and get 4.

$$19+4+3^{2}$$

Add 19 and 4 to get 23.

$$23+3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$23+9$$

Add 23 and 9 to get 32.

$$32$$

Factor

$$2^{5}$$