Asked by Zoey
Simplify the expression
-3(6 - 3u)
-3(6 - 3u)
Answers
Answered by
GPT-4o mini
To simplify the expression \(-3(6 - 3u)\), we can distribute \(-3\) to both terms inside the parentheses:
\[
-3(6) + -3(-3u)
\]
Calculating each term, we have:
\[
-3 \cdot 6 = -18
\]
\[
-3 \cdot -3u = 9u
\]
Putting it all together, the expression simplifies to:
\[
-18 + 9u
\]
Thus, the simplified expression is:
\[
9u - 18
\]
\[
-3(6) + -3(-3u)
\]
Calculating each term, we have:
\[
-3 \cdot 6 = -18
\]
\[
-3 \cdot -3u = 9u
\]
Putting it all together, the expression simplifies to:
\[
-18 + 9u
\]
Thus, the simplified expression is:
\[
9u - 18
\]
Answered by
GPT-4o mini
To simplify the expression \(2(-3 + 4w)\), we will distribute the \(2\) to both terms inside the parentheses:
\[
2 \cdot (-3) + 2 \cdot (4w)
\]
Calculating each term, we get:
\[
2 \cdot -3 = -6
\]
\[
2 \cdot 4w = 8w
\]
Now, putting it all together, the expression simplifies to:
\[
-6 + 8w
\]
Thus, the simplified expression is:
\[
8w - 6
\]
\[
2 \cdot (-3) + 2 \cdot (4w)
\]
Calculating each term, we get:
\[
2 \cdot -3 = -6
\]
\[
2 \cdot 4w = 8w
\]
Now, putting it all together, the expression simplifies to:
\[
-6 + 8w
\]
Thus, the simplified expression is:
\[
8w - 6
\]
Answered by
GPT-4o mini
To simplify the expression \(-6(-2v + 5)\), we will distribute \(-6\) to both terms inside the parentheses:
\[
-6 \cdot (-2v) + -6 \cdot 5
\]
Calculating each term gives us:
\[
-6 \cdot -2v = 12v
\]
\[
-6 \cdot 5 = -30
\]
Now, putting it all together, the expression simplifies to:
\[
12v - 30
\]
Thus, the simplified expression is:
\[
12v - 30
\]
\[
-6 \cdot (-2v) + -6 \cdot 5
\]
Calculating each term gives us:
\[
-6 \cdot -2v = 12v
\]
\[
-6 \cdot 5 = -30
\]
Now, putting it all together, the expression simplifies to:
\[
12v - 30
\]
Thus, the simplified expression is:
\[
12v - 30
\]
Answered by
GPT-4o mini
To simplify the expression \(-3(6 - 7x)\), we will distribute \(-3\) to both terms inside the parentheses:
\[
-3 \cdot 6 + -3 \cdot (-7x)
\]
Calculating each term gives us:
\[
-3 \cdot 6 = -18
\]
\[
-3 \cdot -7x = 21x
\]
Now, putting it all together, the expression simplifies to:
\[
21x - 18
\]
Thus, the simplified expression is:
\[
21x - 18
\]
\[
-3 \cdot 6 + -3 \cdot (-7x)
\]
Calculating each term gives us:
\[
-3 \cdot 6 = -18
\]
\[
-3 \cdot -7x = 21x
\]
Now, putting it all together, the expression simplifies to:
\[
21x - 18
\]
Thus, the simplified expression is:
\[
21x - 18
\]
Answered by
GPT-4o mini
To simplify the expression \(2(-2d + 4)\), we will distribute the \(2\) to both terms inside the parentheses:
\[
2 \cdot (-2d) + 2 \cdot 4
\]
Calculating each term gives us:
\[
2 \cdot (-2d) = -4d
\]
\[
2 \cdot 4 = 8
\]
Now, putting it all together, the expression simplifies to:
\[
-4d + 8
\]
Thus, the simplified expression is:
\[
-4d + 8
\]
\[
2 \cdot (-2d) + 2 \cdot 4
\]
Calculating each term gives us:
\[
2 \cdot (-2d) = -4d
\]
\[
2 \cdot 4 = 8
\]
Now, putting it all together, the expression simplifies to:
\[
-4d + 8
\]
Thus, the simplified expression is:
\[
-4d + 8
\]
Answered by
GPT-4o mini
To simplify the expression \(5(-3d + 4)\), we will distribute the \(5\) to both terms inside the parentheses:
\[
5 \cdot (-3d) + 5 \cdot 4
\]
Calculating each term gives us:
\[
5 \cdot (-3d) = -15d
\]
\[
5 \cdot 4 = 20
\]
Now, putting it all together, the expression simplifies to:
\[
-15d + 20
\]
Thus, the simplified expression is:
\[
-15d + 20
\]
\[
5 \cdot (-3d) + 5 \cdot 4
\]
Calculating each term gives us:
\[
5 \cdot (-3d) = -15d
\]
\[
5 \cdot 4 = 20
\]
Now, putting it all together, the expression simplifies to:
\[
-15d + 20
\]
Thus, the simplified expression is:
\[
-15d + 20
\]
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