Solve left(4+8right)^2-{left(frac{4/2right)}^2+20+-20*2--5*2+2800}{5^2+2^2-9*2-1^2}

$$\frac{ { \left(4+8 \right) }^{ 2 } - { \left( \frac{ 4 }{ 2 } \right) }^{ 2 } +20+-20 \cdot 2--5 \cdot 2+2800 }{ { 5 }^{ 2 } + { 2 }^{ 2 } -9 \cdot 2- { 1 }^{ 2 } }$$

Evaluate

$$293$$

Solution Steps

Add 4 and 8 to get 12.

$$\frac{12^{2}-\left(\frac{4}{2}\right)^{2}+20-20\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{144-\left(\frac{4}{2}\right)^{2}+20-20\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Divide 4 by 2 to get 2.

$$\frac{144-2^{2}+20-20\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{144-4+20-20\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Subtract 4 from 144 to get 140.

$$\frac{140+20-20\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Add 140 and 20 to get 160.

$$\frac{160-20\times 2-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Multiply -20 and 2 to get -40.

$$\frac{160-40-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Subtract 40 from 160 to get 120.

$$\frac{120-\left(-5\times 2\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Multiply -5 and 2 to get -10.

$$\frac{120-\left(-10\right)+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

The opposite of -10 is 10.

$$\frac{120+10+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Add 120 and 10 to get 130.

$$\frac{130+2800}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Add 130 and 2800 to get 2930.

$$\frac{2930}{5^{2}+2^{2}-9\times 2-1^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{2930}{25+2^{2}-9\times 2-1^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2930}{25+4-9\times 2-1^{2}}$$

Add 25 and 4 to get 29.

$$\frac{2930}{29-9\times 2-1^{2}}$$

Multiply 9 and 2 to get 18.

$$\frac{2930}{29-18-1^{2}}$$

Subtract 18 from 29 to get 11.

$$\frac{2930}{11-1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{2930}{11-1}$$

Subtract 1 from 11 to get 10.

$$\frac{2930}{10}$$

Divide 2930 by 10 to get 293.

$$293$$

Factor

$$293$$