Question

Which expression is equivalent to -12(3x -3/4)?

Answer 1

- 36x + 9

Explanation:

- 12(3x -
`(3)/(4)` ) ← multiply each term in the parenthesis by - 12

= - 36x + 9

Answer 2

-36x + 9

Explanation:

Given expression:

`-12\left(3x-(3)/(4)\right)`

Apply the distributive rule:

`\implies -12 \cdot 3x -12 \cdot -(3)/(4)`

Multiply -12 and 3x:

`\implies -36x -12 \cdot -(3)/(4)`

Apply the rule -a(-b) = ab:

`\implies -36x +12 \cdot (3)/(4)`

Convert 12 into a fraction:

`\implies -36x +(12)/(1) \cdot (3)/(4)`

`\textsf{Apply the fraction rule} \quad (a)/(b) \cdot (c)/(d)=(ac)/(db)}:`

`\implies -36x +(36)/(4)`

Divide the numbers:

`\implies -36x +9`

Therefore, the equivalent expression to the given expression is:

• -36x + 9