Question

write the expanded form of the expression.
8(2x - 7)
8(2x - 7) =
(simplify your answer. use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 8\), \(b=2x\) and \(c=- 7\). So we have \(8\times(2x)+8\times(-7)\).

Step2: Calculate each term

For the first term, \(8\times(2x)=16x\). For the second term, \(8\times(-7)=- 56\).

Step3: Combine the terms

Combining the two terms, we get \(16x-56\).

Answer:

\(16x - 56\)