Solve (84^3+66^3/150-84*66):(12^2-6^2)

$$( \frac { 84 ^ { 3 } + 66 ^ { 3 } } { 150 } - 84 \cdot 66 ) : ( 12 ^ { 2 } - 6 ^ { 2 } )$$

Evaluate

$$3$$

Solution Steps

Calculate 84 to the power of 3 and get 592704.

$$\frac{\frac{592704+66^{3}}{150}-84\times 66}{12^{2}-6^{2}}$$

Calculate 66 to the power of 3 and get 287496.

$$\frac{\frac{592704+287496}{150}-84\times 66}{12^{2}-6^{2}}$$

Add 592704 and 287496 to get 880200.

$$\frac{\frac{880200}{150}-84\times 66}{12^{2}-6^{2}}$$

Divide 880200 by 150 to get 5868.

$$\frac{5868-84\times 66}{12^{2}-6^{2}}$$

Multiply 84 and 66 to get 5544.

$$\frac{5868-5544}{12^{2}-6^{2}}$$

Subtract 5544 from 5868 to get 324.

$$\frac{324}{12^{2}-6^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{324}{144-6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{324}{144-36}$$

Subtract 36 from 144 to get 108.

$$\frac{324}{108}$$

Divide 324 by 108 to get 3.

$$3$$

Factor

$$3$$