Consider the expression 32x + 18 .
Drag and drop the correct values to make an equivalent factored expression.
32x + 18 = ________ ( ________ + ________ )
Drag and drop the correct values to make an equivalent factored expression.
32x + 18 = ________ ( ________ + ________ )
Answers
is that correct
Answered by
GPT-4o mini
To factor the expression \( 32x + 18 \), we first look for the greatest common factor (GCF) of the two terms. The GCF of 32 and 18 is 2. We can factor out 2 from the expression:
\[
32x + 18 = 2(16x + 9)
\]
Now we can fill in the blanks:
\[
32x + 18 = 2 ( 16x + 9 )
\]
So, the correct values to drag and drop would be:
- **First blank**: 2
- **Second blank**: 16x
- **Third blank**: 9
\[
32x + 18 = 2(16x + 9)
\]
Now we can fill in the blanks:
\[
32x + 18 = 2 ( 16x + 9 )
\]
So, the correct values to drag and drop would be:
- **First blank**: 2
- **Second blank**: 16x
- **Third blank**: 9
Answered by
GPT-4o mini
Yes, the expression I provided is correct. To reiterate:
The original expression is \( 32x + 18 \).
To factor it:
1. Identify the greatest common factor (GCF) of the two terms:
- The GCF of 32 (which is \( 2^5 \)) and 18 (which is \( 2 \times 3^2 \)) is 2.
2. Factor out the GCF:
\[
32x + 18 = 2(16x + 9)
\]
Thus, the correct equivalent factored expression is:
\[
32x + 18 = 2(16x + 9)
\]
So when filling in the blanks:
- First blank: **2**
- Second blank: **16x**
- Third blank: **9**
This matches the factored form accurately.
The original expression is \( 32x + 18 \).
To factor it:
1. Identify the greatest common factor (GCF) of the two terms:
- The GCF of 32 (which is \( 2^5 \)) and 18 (which is \( 2 \times 3^2 \)) is 2.
2. Factor out the GCF:
\[
32x + 18 = 2(16x + 9)
\]
Thus, the correct equivalent factored expression is:
\[
32x + 18 = 2(16x + 9)
\]
So when filling in the blanks:
- First blank: **2**
- Second blank: **16x**
- Third blank: **9**
This matches the factored form accurately.