Solve 6^2:4:3-12^2:9

$$6 ^ { 2 } : 4 : 3 - 12 ^ { 2 } : 9$$

Evaluate

$$-13$$

Solution Steps

Express \frac{\frac{6^{2}}{4}}{3} as a single fraction.

$$\frac{6^{2}}{4\times 3}-\frac{12^{2}}{9}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{36}{4\times 3}-\frac{12^{2}}{9}$$

Multiply 4 and 3 to get 12.

$$\frac{36}{12}-\frac{12^{2}}{9}$$

Divide 36 by 12 to get 3.

$$3-\frac{12^{2}}{9}$$

Calculate 12 to the power of 2 and get 144.

$$3-\frac{144}{9}$$

Divide 144 by 9 to get 16.

$$3-16$$

Subtract 16 from 3 to get -13.

$$-13$$

Factor

$$-13$$