Question

use the distributive property to write an expression ivalent to $12(x + y)$. $12(x + y) = \\ ?\\ + \\ ?$ options for the first ?: 12, $12 + x$, $12x$, $12xy$

Explanation:

Step1: Recall distributive property

The distributive property states that \( a(b + c)=ab+ac \). For \( 12(x + y) \), we distribute 12 to both \( x \) and \( y \).

Step2: Apply distributive property

Applying the property, \( 12(x + y)=12\times x+12\times y = 12x + 12y \). So the first blank (the first term) should be \( 12x \) and the second blank (the second term) should be \( 12y \) (assuming the second dropdown has similar options, but from the first dropdown, we see the first term is \( 12x \)).

Answer:

First blank: \( 12x \), Second blank: \( 12y \) (If we consider the first dropdown options, the first term is \( 12x \), and the second term should be \( 12y \) following the distributive property \( a(b + c)=ab + ac \) with \( a = 12 \), \( b=x \), \( c = y \)).