Solve 7^3-3^3-5^3-5^3+{1}^3+{2}^3+{3}^3-1

$${ 7 }^{ 3 } - { 3 }^{ 3 } - { 5 }^{ 3 } - { 5 }^{ 3 } + { 1 }^{ 3 } + { 2 }^{ 3 } + { 3 }^{ 3 } -1$$

Evaluate

$$101$$

Solution Steps

Calculate 7 to the power of 3 and get 343.

$$343-3^{3}-5^{3}-5^{3}+1^{3}+2^{3}+3^{3}-1$$

Calculate 3 to the power of 3 and get 27.

$$343-27-5^{3}-5^{3}+1^{3}+2^{3}+3^{3}-1$$

Subtract 27 from 343 to get 316.

$$316-5^{3}-5^{3}+1^{3}+2^{3}+3^{3}-1$$

Calculate 5 to the power of 3 and get 125.

$$316-125-5^{3}+1^{3}+2^{3}+3^{3}-1$$

Subtract 125 from 316 to get 191.

$$191-5^{3}+1^{3}+2^{3}+3^{3}-1$$

Calculate 5 to the power of 3 and get 125.

$$191-125+1^{3}+2^{3}+3^{3}-1$$

Subtract 125 from 191 to get 66.

$$66+1^{3}+2^{3}+3^{3}-1$$

Calculate 1 to the power of 3 and get 1.

$$66+1+2^{3}+3^{3}-1$$

Add 66 and 1 to get 67.

$$67+2^{3}+3^{3}-1$$

Calculate 2 to the power of 3 and get 8.

$$67+8+3^{3}-1$$

Add 67 and 8 to get 75.

$$75+3^{3}-1$$

Calculate 3 to the power of 3 and get 27.

$$75+27-1$$

Add 75 and 27 to get 102.

$$102-1$$

Subtract 1 from 102 to get 101.

$$101$$

Factor

$$101$$