Look at the expression: −3(2x+7)

(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
This expression involves these two operations Response area and Response area .

We will use the Response area to simplify this expression.

The simplified expression looks like Response area .

1 answer

To simplify the expression \(-3(2x + 7)\), we first need to identify the operations involved, which are multiplication and addition.

  1. Operations:

    • The expression involves these two operations: multiplication and addition.
  2. Simplifying:

    • To simplify, we distribute \(-3\) to both terms inside the parentheses. \[ -3 \cdot 2x + (-3) \cdot 7 = -6x - 21 \]
  3. Final Result:

    • The simplified expression looks like: \(-6x - 21\).

So to fill in the response areas:

  • The expression involves: multiplication and addition.
  • We will use the distributive property to simplify this expression.
  • The simplified expression looks like: \(-6x - 21\).