Question

question 5 of 25 step 1 of 1 use the distributive property. -8(a-4) answer 2 points a=4

Explanation:

Step1: Apply distributive property

The distributive property states that \( c(a - b)=ca - cb \). For \(-8(a - 4)\), we distribute \(-8\) to both \(a\) and \(-4\).
\[
-8(a - 4)=-8\times a+(-8)\times(-4)
\]

Step2: Simplify the terms

Simplify each term: \(-8\times a=-8a\) and \((-8)\times(-4) = 32\).
So, \(-8(a - 4)=-8a + 32\). If we substitute \(a = 4\) (though the problem first asks to use distributive property, but if we check with \(a = 4\)): \(-8(4-4)=-8\times0 = 0\), and \(-8\times4+32=-32 + 32=0\), which is consistent. But the main result from distributive property is \(-8a + 32\).

Answer:

\(-8a + 32\) (If evaluating at \(a = 4\), the value is \(0\), but based on distributive property expansion, it's \(-8a + 32\))