Solve 12-2(7-4)^2div4

$$12-2(7-4)^2 \div 4$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Subtract 4 from 7 to get 3.

$$12-\frac{2\times 3^{2}}{4}$$

Calculate 3 to the power of 2 and get 9.

$$12-\frac{2\times 9}{4}$$

Multiply 2 and 9 to get 18.

$$12-\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$12-\frac{9}{2}$$

Subtract \frac{9}{2} from 12 to get \frac{15}{2}.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$