Solve 2*3^{3}-4^2+3*2^2-5^2-2^2*5

$$2 \times 3 ^ { 3 } - 4 ^ { 2 } + 3 \times 2 ^ { 2 } - 5 ^ { 2 } - 2 ^ { 2 } \times 5$$

Evaluate

$$5$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$2\times 27-4^{2}+3\times 2^{2}-5^{2}-2^{2}\times 5$$

Multiply 2 and 27 to get 54.

$$54-4^{2}+3\times 2^{2}-5^{2}-2^{2}\times 5$$

Calculate 4 to the power of 2 and get 16.

$$54-16+3\times 2^{2}-5^{2}-2^{2}\times 5$$

Subtract 16 from 54 to get 38.

$$38+3\times 2^{2}-5^{2}-2^{2}\times 5$$

Calculate 2 to the power of 2 and get 4.

$$38+3\times 4-5^{2}-2^{2}\times 5$$

Multiply 3 and 4 to get 12.

$$38+12-5^{2}-2^{2}\times 5$$

Add 38 and 12 to get 50.

$$50-5^{2}-2^{2}\times 5$$

Calculate 5 to the power of 2 and get 25.

$$50-25-2^{2}\times 5$$

Subtract 25 from 50 to get 25.

$$25-2^{2}\times 5$$

Calculate 2 to the power of 2 and get 4.

$$25-4\times 5$$

Multiply 4 and 5 to get 20.

$$25-20$$

Subtract 20 from 25 to get 5.

$$5$$

Factor

$$5$$