Solve 3^2+2^2-12div(5+4)

$$3 ^ { 2 } + 2 ^ { 2 } - 12 \div ( 5 + 4 )$$

Evaluate

$$\frac{35}{3}\approx 11.666666667$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9+2^{2}-\frac{12}{5+4}$$

Calculate 2 to the power of 2 and get 4.

$$9+4-\frac{12}{5+4}$$

Add 9 and 4 to get 13.

$$13-\frac{12}{5+4}$$

Add 5 and 4 to get 9.

$$13-\frac{12}{9}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$13-\frac{4}{3}$$

Convert 13 to fraction \frac{39}{3}.

$$\frac{39}{3}-\frac{4}{3}$$

Since \frac{39}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-4}{3}$$

Subtract 4 from 39 to get 35.

$$\frac{35}{3}$$

Factor

$$\frac{5 \cdot 7}{3} = 11\frac{2}{3} = 11.666666666666666$$