Question

1. simplify using the distributive property: 4(2x + 7)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab + ac \). For \( 4(2x + 7) \), we distribute 4 to both \( 2x \) and 7.
So, \( 4\times(2x)+4\times7 \)

Step2: Perform the multiplications

Calculate \( 4\times2x = 8x \) and \( 4\times7 = 28 \).
Then we get \( 8x+28 \)

Answer:

\( 8x + 28 \)