Solve a^2+b^2/100*18

$$\frac { a ^ { 2 } + b ^ { 2 } } { 100 } \cdot 18$$

Evaluate

$$\frac{9\left(a^{2}+b^{2}\right)}{50}$$

Solution Steps

Express \frac{a^{2}+b^{2}}{100}\times 18 as a single fraction.

$$\frac{\left(a^{2}+b^{2}\right)\times 18}{100}$$

Use the distributive property to multiply a^{2}+b^{2} by 18.

$$\frac{18a^{2}+18b^{2}}{100}$$

Expand

$$\frac{9a^{2}+9b^{2}}{50}$$

Solution Steps

Express \frac{a^{2}+b^{2}}{100}\times 18 as a single fraction.

$$\frac{\left(a^{2}+b^{2}\right)\times 18}{100}$$

Use the distributive property to multiply a^{2}+b^{2} by 18.

$$\frac{18a^{2}+18b^{2}}{100}$$