Question

Simplify the following expression
1/2 (18t) +2t(9)-12​

Answer 1

The answer is 27t - 12.

Explanation:

1) Remove parentheses.

`(1)/(2) * 18t + 2t * 9 - 12`

2) Use this rule: a/b × c/d = ac/bd.

`(1 * 18t)/(2) + 2t * 9 - 12`

3) Simplify 1 × 18t to 18t.

`(18t)/(2) + 2t * 9 - 12`

4) Simplify 18t/2 to 9t.

`9t + 2t * 9 - 12`

5) Simplify 2t × 9 to 18t.

`9t + 18t - 12`

6) Collect like terms.

`(9t + 18t) - 12`

7) Simplify.

`27t - 12`

Thus, the answer is 27t - 12.