Solve =(4*9*2*2^2)-(4*9*2^2)/2*2-2

$$= \frac { ( 4 \cdot 9 \times 2 \cdot 2 ^ { 2 } ) - ( 4 \cdot 9 \times 2 ^ { 2 } ) } { 2 \cdot 2 - 2 }$$

Evaluate

$$72$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

Multiply 4 and 9 to get 36.

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

Calculate 2 to the power of 3 and get 8.

$$\frac{36\times 8-4\times 9\times 2^{2}}{2\times 2-2}$$

Multiply 36 and 8 to get 288.

$$\frac{288-4\times 9\times 2^{2}}{2\times 2-2}$$

Multiply 4 and 9 to get 36.

$$\frac{288-36\times 2^{2}}{2\times 2-2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{288-36\times 4}{2\times 2-2}$$

Multiply 36 and 4 to get 144.

$$\frac{288-144}{2\times 2-2}$$

Subtract 144 from 288 to get 144.

$$\frac{144}{2\times 2-2}$$

Multiply 2 and 2 to get 4.

$$\frac{144}{4-2}$$

Subtract 2 from 4 to get 2.

$$\frac{144}{2}$$

Divide 144 by 2 to get 72.

$$72$$

Factor

$$2^{3}\times 3^{2}$$