Solve 12^{2}-10^{2}+8^2-6^2+4^2-2^2

$$12 ^ { 2 } - 10 ^ { 2 } + 8 ^ { 2 } - 6 ^ { 2 } + 4 ^ { 2 } - 2 ^ { 2 }$$

Evaluate

$$84$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$144-10^{2}+8^{2}-6^{2}+4^{2}-2^{2}$$

Calculate 10 to the power of 2 and get 100.

$$144-100+8^{2}-6^{2}+4^{2}-2^{2}$$

Subtract 100 from 144 to get 44.

$$44+8^{2}-6^{2}+4^{2}-2^{2}$$

Calculate 8 to the power of 2 and get 64.

$$44+64-6^{2}+4^{2}-2^{2}$$

Add 44 and 64 to get 108.

$$108-6^{2}+4^{2}-2^{2}$$

Calculate 6 to the power of 2 and get 36.

$$108-36+4^{2}-2^{2}$$

Subtract 36 from 108 to get 72.

$$72+4^{2}-2^{2}$$

Calculate 4 to the power of 2 and get 16.

$$72+16-2^{2}$$

Add 72 and 16 to get 88.

$$88-2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$88-4$$

Subtract 4 from 88 to get 84.

$$84$$

Factor

$$2^{2}\times 3\times 7$$