Question
Use the destructive property to write an equivalent expression. 3(2h-3k+1)
Answers
GPT-4o mini
To use the distributive property to write an equivalent expression for \(3(2h - 3k + 1)\), we distribute the \(3\) to each term inside the parentheses:
\[
3(2h) + 3(-3k) + 3(1)
\]
Now we calculate each term:
- \(3(2h) = 6h\)
- \(3(-3k) = -9k\)
- \(3(1) = 3\)
Putting it all together, we have:
\[
6h - 9k + 3
\]
Thus, the equivalent expression is:
\[
6h - 9k + 3
\]
\[
3(2h) + 3(-3k) + 3(1)
\]
Now we calculate each term:
- \(3(2h) = 6h\)
- \(3(-3k) = -9k\)
- \(3(1) = 3\)
Putting it all together, we have:
\[
6h - 9k + 3
\]
Thus, the equivalent expression is:
\[
6h - 9k + 3
\]