Solve 5^2(2*2+5-2)-6(72*6)+3^2(4^2-3*3)

$$5 ^ { 2 } ( 2 \cdot 2 + 5 - 2 ) - 6 ( 72 \cdot 6 ) + 3 ^ { 2 } ( 4 ^ { 2 } - 3 \cdot 3 )$$

Evaluate

$$-2354$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25\left(2\times 2+5-2\right)-6\times 72\times 6+3^{2}\left(4^{2}-3\times 3\right)$$

Multiply 2 and 2 to get 4.

$$25\left(4+5-2\right)-6\times 72\times 6+3^{2}\left(4^{2}-3\times 3\right)$$

Add 4 and 5 to get 9.

$$25\left(9-2\right)-6\times 72\times 6+3^{2}\left(4^{2}-3\times 3\right)$$

Subtract 2 from 9 to get 7.

$$25\times 7-6\times 72\times 6+3^{2}\left(4^{2}-3\times 3\right)$$

Multiply 25 and 7 to get 175.

$$175-6\times 72\times 6+3^{2}\left(4^{2}-3\times 3\right)$$

Multiply 6 and 72 to get 432.

$$175-432\times 6+3^{2}\left(4^{2}-3\times 3\right)$$

Multiply 432 and 6 to get 2592.

$$175-2592+3^{2}\left(4^{2}-3\times 3\right)$$

Subtract 2592 from 175 to get -2417.

$$-2417+3^{2}\left(4^{2}-3\times 3\right)$$

Calculate 3 to the power of 2 and get 9.

$$-2417+9\left(4^{2}-3\times 3\right)$$

Calculate 4 to the power of 2 and get 16.

$$-2417+9\left(16-3\times 3\right)$$

Multiply 3 and 3 to get 9.

$$-2417+9\left(16-9\right)$$

Subtract 9 from 16 to get 7.

$$-2417+9\times 7$$

Multiply 9 and 7 to get 63.

$$-2417+63$$

Add -2417 and 63 to get -2354.

$$-2354$$

Factor

$$-2354$$