Solve 4^{4}-18(4)^2(5)^2+24(5)^2+18(4)^3(5)-64

$$4 ^ { 4 } - 18 ( 4 ) ^ { 2 } ( 5 ) ^ { 2 } + 24 ( 5 ) ^ { 2 } + 18 ( 4 ) ^ { 3 } ( 5 ) - 64$$

Evaluate

$$-648$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$256-18\times 4^{2}\times 5^{2}+24\times 5^{2}+18\times 4^{3}\times 5-64$$

Calculate 4 to the power of 2 and get 16.

$$256-18\times 16\times 5^{2}+24\times 5^{2}+18\times 4^{3}\times 5-64$$

Multiply 18 and 16 to get 288.

$$256-288\times 5^{2}+24\times 5^{2}+18\times 4^{3}\times 5-64$$

Calculate 5 to the power of 2 and get 25.

$$256-288\times 25+24\times 5^{2}+18\times 4^{3}\times 5-64$$

Multiply 288 and 25 to get 7200.

$$256-7200+24\times 5^{2}+18\times 4^{3}\times 5-64$$

Subtract 7200 from 256 to get -6944.

$$-6944+24\times 5^{2}+18\times 4^{3}\times 5-64$$

Calculate 5 to the power of 2 and get 25.

$$-6944+24\times 25+18\times 4^{3}\times 5-64$$

Multiply 24 and 25 to get 600.

$$-6944+600+18\times 4^{3}\times 5-64$$

Add -6944 and 600 to get -6344.

$$-6344+18\times 4^{3}\times 5-64$$

Calculate 4 to the power of 3 and get 64.

$$-6344+18\times 64\times 5-64$$

Multiply 18 and 64 to get 1152.

$$-6344+1152\times 5-64$$

Multiply 1152 and 5 to get 5760.

$$-6344+5760-64$$

Add -6344 and 5760 to get -584.

$$-584-64$$

Subtract 64 from -584 to get -648.

$$-648$$

Factor

$$-648$$