Solve 42^2+222/7*21^2

$${ 42 }^{ 2 } +2 \frac{ 22 }{ 7 } \times { 21 }^{ 2 }$$

Evaluate

$$4032$$

Solution Steps

Calculate 42 to the power of 2 and get 1764.

$$1764+\frac{2\times 7+22}{7}\times 21^{2}$$

Multiply 2 and 7 to get 14.

$$1764+\frac{14+22}{7}\times 21^{2}$$

Add 14 and 22 to get 36.

$$1764+\frac{36}{7}\times 21^{2}$$

Calculate 21 to the power of 2 and get 441.

$$1764+\frac{36}{7}\times 441$$

Express \frac{36}{7}\times 441 as a single fraction.

$$1764+\frac{36\times 441}{7}$$

Multiply 36 and 441 to get 15876.

$$1764+\frac{15876}{7}$$

Divide 15876 by 7 to get 2268.

$$1764+2268$$

Add 1764 and 2268 to get 4032.

$$4032$$

Factor

$$2^{6}\times 3^{2}\times 7$$