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

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, \(4\times2x+4\times7\)

Step2: Calculate the products

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

Answer:

\(8x + 28\)