Solve (2(3)-3)(5(3)-2)-(2(3)-3)5(3)-2

$$(2(3)-3)(5(3)-2)-(2(3)-3)5(3)-2$$

Evaluate

$$-8$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\left(6-3\right)\left(5\times 3-2\right)-\left(2\times 3-3\right)\times 5\times 3-2$$

Subtract 3 from 6 to get 3.

$$3\left(5\times 3-2\right)-\left(2\times 3-3\right)\times 5\times 3-2$$

Multiply 5 and 3 to get 15.

$$3\left(15-2\right)-\left(2\times 3-3\right)\times 5\times 3-2$$

Subtract 2 from 15 to get 13.

$$3\times 13-\left(2\times 3-3\right)\times 5\times 3-2$$

Multiply 3 and 13 to get 39.

$$39-\left(2\times 3-3\right)\times 5\times 3-2$$

Multiply 2 and 3 to get 6.

$$39-\left(6-3\right)\times 5\times 3-2$$

Subtract 3 from 6 to get 3.

$$39-3\times 5\times 3-2$$

Multiply 3 and 5 to get 15.

$$39-15\times 3-2$$

Multiply 15 and 3 to get 45.

$$39-45-2$$

Subtract 45 from 39 to get -6.

$$-6-2$$

Subtract 2 from -6 to get -8.

$$-8$$

Factor

$$-8$$