Question

question
rewrite in simplest terms: $-4w - 9(-4w + 9)$

Explanation:

Step1: Distribute -9

We use the distributive property \(a(b + c)=ab+ac\). Here, \(a = - 9\), \(b=-4w\) and \(c = 9\). So, \(-9(-4w + 9)=(-9)\times(-4w)+(-9)\times9 = 36w-81\).
The expression becomes \(-4w + 36w-81\).

Step2: Combine like terms

Combine the terms with \(w\). \(-4w+36w=( - 4 + 36)w=32w\).
So the simplified expression is \(32w-81\).

Answer:

\(32w - 81\)