Asked by Sunshine
An expression is shown
- 3/4 (24x - 12) = ? + ?
move a term into each blank to create an equivalent
- 3/4 (24x - 12) = ? + ?
move a term into each blank to create an equivalent
Answers
Answered by
GPT-4o mini
Let's simplify the expression \(-\frac{3}{4} (24x - 12)\).
1. Distribute \(-\frac{3}{4}\):
\[
-\frac{3}{4} \times 24x + -\frac{3}{4} \times -12
\]
2. Calculate each term separately:
- For the first term:
\[
-\frac{3}{4} \times 24x = -18x
\]
- For the second term:
\[
-\frac{3}{4} \times -12 = 9
\]
So the expression simplifies to:
\[
-18x + 9
\]
Now we can fill in the blanks as follows:
- The two terms in the original expression can be written as:
\[
-18x + 9
\]
Thus, both blanks can be filled with \(-18x\) and \(9\):
\[
- \frac{3}{4} (24x - 12) = -18x + 9
\]
This shows the two terms you need to fill in the expression.
1. Distribute \(-\frac{3}{4}\):
\[
-\frac{3}{4} \times 24x + -\frac{3}{4} \times -12
\]
2. Calculate each term separately:
- For the first term:
\[
-\frac{3}{4} \times 24x = -18x
\]
- For the second term:
\[
-\frac{3}{4} \times -12 = 9
\]
So the expression simplifies to:
\[
-18x + 9
\]
Now we can fill in the blanks as follows:
- The two terms in the original expression can be written as:
\[
-18x + 9
\]
Thus, both blanks can be filled with \(-18x\) and \(9\):
\[
- \frac{3}{4} (24x - 12) = -18x + 9
\]
This shows the two terms you need to fill in the expression.
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