Solve 2(1+[4(2+1)^2+1)^2]

$$2 ( 1 + [ 4 ( 2 + 1 ) ^ { 2 } + 1 ) ^ { 2 } ]$$

Evaluate

$$2740$$

Solution Steps

Add 2 and 1 to get 3.

$$2\left(1+\left(4\times 3^{2}+1\right)^{2}\right)$$

Calculate 3 to the power of 2 and get 9.

$$2\left(1+\left(4\times 9+1\right)^{2}\right)$$

Multiply 4 and 9 to get 36.

$$2\left(1+\left(36+1\right)^{2}\right)$$

Add 36 and 1 to get 37.

$$2\left(1+37^{2}\right)$$

Calculate 37 to the power of 2 and get 1369.

$$2\left(1+1369\right)$$

Add 1 and 1369 to get 1370.

$$2\times 1370$$

Multiply 2 and 1370 to get 2740.

$$2740$$

Factor

$$2^{2}\times 5\times 137$$