Solve 7^2-5^2+2^2+200^2-{1000}^2

$${ 7 }^{ 2 } - { 5 }^{ 2 } + { 2 }^{ 2 } + { 200 }^{ 2 } - { 1000 }^{ 2 }$$

Evaluate

$$-959972$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$49-5^{2}+2^{2}+200^{2}-1000^{2}$$

Calculate 5 to the power of 2 and get 25.

$$49-25+2^{2}+200^{2}-1000^{2}$$

Subtract 25 from 49 to get 24.

$$24+2^{2}+200^{2}-1000^{2}$$

Calculate 2 to the power of 2 and get 4.

$$24+4+200^{2}-1000^{2}$$

Add 24 and 4 to get 28.

$$28+200^{2}-1000^{2}$$

Calculate 200 to the power of 2 and get 40000.

$$28+40000-1000^{2}$$

Add 28 and 40000 to get 40028.

$$40028-1000^{2}$$

Calculate 1000 to the power of 2 and get 1000000.

$$40028-1000000$$

Subtract 1000000 from 40028 to get -959972.

$$-959972$$

Factor

$$-959972$$