Solve left(4+8right)^2-{left(frac{4/2right)}^2+30+-30*2--5*2+2800}{5^2+2^2-9*2-1^2}

$$\frac{ { \left(4+8 \right) }^{ 2 } - { \left( \frac{ 4 }{ 2 } \right) }^{ 2 } +30+-30 \cdot 2--5 \cdot 2+2800 }{ { 5 }^{ 2 } + { 2 }^{ 2 } -9 \cdot 2- { 1 }^{ 2 } }$$

Evaluate

$$292$$

Solution Steps

Add 4 and 8 to get 12.

$$\frac{12^{2}-\left(\frac{4}{2}\right)^{2}+30-30\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{144-\left(\frac{4}{2}\right)^{2}+30-30\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Divide 4 by 2 to get 2.

$$\frac{144-2^{2}+30-30\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{144-4+30-30\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Subtract 4 from 144 to get 140.

$$\frac{140+30-30\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Add 140 and 30 to get 170.

$$\frac{170-30\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Multiply -30 and 2 to get -60.

$$\frac{170-60-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Subtract 60 from 170 to get 110.

$$\frac{110-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Multiply -5 and 2 to get -10.

$$\frac{110-\left(-10\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

The opposite of -10 is 10.

$$\frac{110+10+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Add 110 and 10 to get 120.

$$\frac{120+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Add 120 and 2800 to get 2920.

$$\frac{2920}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{2920}{25+2^{2}-9\times 2-1^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2920}{25+4-9\times 2-1^{2}}$$

Add 25 and 4 to get 29.

$$\frac{2920}{29-9\times 2-1^{2}}$$

Multiply 9 and 2 to get 18.

$$\frac{2920}{29-18-1^{2}}$$

Subtract 18 from 29 to get 11.

$$\frac{2920}{11-1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{2920}{11-1}$$

Subtract 1 from 11 to get 10.

$$\frac{2920}{10}$$

Divide 2920 by 10 to get 292.

$$292$$

Factor

$$2^{2}\times 73$$