Solve 7.85*7.85+2*7.85*2.15+2.15*2.15

$$7.85 \times 7.85 + 2 \times 7.85 \times 2.15 + 2.15 \times 2.15$$

Evaluate

$$100$$

Solution Steps

Multiply 7.85 and 7.85 to get 61.6225.

$$61.6225+2\times 7.85\times 2.15+2.15\times 2.15$$

Multiply 2 and 7.85 to get 15.7.

$$61.6225+15.7\times 2.15+2.15\times 2.15$$

Multiply 15.7 and 2.15 to get 33.755.

$$61.6225+33.755+2.15\times 2.15$$

Add 61.6225 and 33.755 to get 95.3775.

$$95.3775+2.15\times 2.15$$

Multiply 2.15 and 2.15 to get 4.6225.

$$95.3775+4.6225$$

Add 95.3775 and 4.6225 to get 100.

$$100$$

Factor

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