Use the distributive property to remove the parentheses.

Question

(1 - 6x + 3u) (-6)

Answer 1

To use the distributive property to remove the parentheses from the expression \((1 - 6x + 3u)(-6)\), you need to multiply each term inside the parentheses by \(-6\).

Here’s how to do it step-by-step:

1. Distribute \(-6\) to each term inside the parentheses.

\[ = -6 \cdot 1 + (-6) \cdot (-6x) + (-6) \cdot 3u \]

2. Calculate each multiplication:

• \(-6 \cdot 1 = -6\)
• \(-6 \cdot (-6x) = 36x\)
• \(-6 \cdot 3u = -18u\)

3. Put it all together:

\[ -6 + 36x - 18u \]

So, the expression without parentheses is:

\[ 36x - 18u - 6 \]