Question

enter the answers to explain why the expressions 4x + 2 and 4(x + 2) are not equivalent. applying the distributive property, the expression 4(x + 2) is equivalent to \boxed{}x + \boxed{}(2), which is \boxed{}x + \boxed{}. that is not equivalent to 4x + 2.

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c)=ab+ac \). For \( 4(x + 2) \), we have \( a = 4 \), \( b=x \), and \( c = 2 \). So, \( 4(x+2)=4\times x+4\times2 \).

Step2: Simplify the Terms

Calculating the products, \( 4\times x = 4x \) and \( 4\times2=8 \). So, \( 4(x + 2)=4x + 8 \).

Answer:

Applying the Distributive Property, the expression \( 4(x + 2) \) is equivalent to \( \boldsymbol{4}x+\boldsymbol{4}(2) \), which is \( \boldsymbol{4}x+\boldsymbol{8} \). That is not equivalent to \( 4x + 2 \).