Solve (85+15)^2+(85-15)^2/85*85+15*15=?

$$\frac { ( 85 + 15 ) ^ { 2 } + ( 85 - 15 ) ^ { 2 } } { 85 \times 85 + 15 \times 15 } = ?$$

Evaluate

$$2$$

Solution Steps

Add 85 and 15 to get 100.

$$\frac{100^{2}+\left(85-15\right)^{2}}{85\times 85+15\times 15}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{10000+\left(85-15\right)^{2}}{85\times 85+15\times 15}$$

Subtract 15 from 85 to get 70.

$$\frac{10000+70^{2}}{85\times 85+15\times 15}$$

Calculate 70 to the power of 2 and get 4900.

$$\frac{10000+4900}{85\times 85+15\times 15}$$

Add 10000 and 4900 to get 14900.

$$\frac{14900}{85\times 85+15\times 15}$$

Do the multiplications.

$$\frac{14900}{7225+225}$$

Add 7225 and 225 to get 7450.

$$\frac{14900}{7450}$$

Divide 14900 by 7450 to get 2.

$$2$$

Factor

$$2$$