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Consider the expression 32x + 18 .

Drag and drop the correct values to make an equivalent factored expression.

32x + 18 = ________ ( ________ + ________ )

3 answers

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
is that correct

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.