Solve (2019^2-2025)(2019^2+4035)(2020)/(2016)(2018)(2021)(2022)

$$\frac { ( 2019 ^ { 2 } - 2025 ) ( 2019 ^ { 2 } + 4035 ) ( 2020 ) } { ( 2016 ) ( 2018 ) ( 2021 ) ( 2022 ) }$$

Evaluate

$$2020$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{505\left(2019^{2}-2025\right)\left(2019^{2}+4035\right)}{504\times 2018\times 2021\times 2022}$$

Calculate 2019 to the power of 2 and get 4076361.

$$\frac{505\left(4076361-2025\right)\left(2019^{2}+4035\right)}{504\times 2018\times 2021\times 2022}$$

Subtract 2025 from 4076361 to get 4074336.

$$\frac{505\times 4074336\left(2019^{2}+4035\right)}{504\times 2018\times 2021\times 2022}$$

Multiply 505 and 4074336 to get 2057539680.

$$\frac{2057539680\left(2019^{2}+4035\right)}{504\times 2018\times 2021\times 2022}$$

Calculate 2019 to the power of 2 and get 4076361.

$$\frac{2057539680\left(4076361+4035\right)}{504\times 2018\times 2021\times 2022}$$

Add 4076361 and 4035 to get 4080396.

$$\frac{2057539680\times 4080396}{504\times 2018\times 2021\times 2022}$$

Multiply 2057539680 and 4080396 to get 8395576680113280.

$$\frac{8395576680113280}{504\times 2018\times 2021\times 2022}$$

Multiply 504 and 2018 to get 1017072.

$$\frac{8395576680113280}{1017072\times 2021\times 2022}$$

Multiply 1017072 and 2021 to get 2055502512.

$$\frac{8395576680113280}{2055502512\times 2022}$$

Multiply 2055502512 and 2022 to get 4156226079264.

$$\frac{8395576680113280}{4156226079264}$$

Divide 8395576680113280 by 4156226079264 to get 2020.

$$2020$$

Factor

$$2^{2}\times 5\times 101$$