Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\(16w+8\)
Solution
Expand the expression \( 4(4w+2) \)
Simplify the expression by following steps:
- step0: Calculate:
\(4\left(4w+2\right)\)
- step1: Multiply the expression:
\(2^{3}\left(2w+1\right)\)
- step2: Rearrange the terms:
\(2^{4}w+2^{3}\)
- step3: Evaluate the power:
\(16w+8\)
Expanding \(4(4w+2)\) gives \(16w+8\).
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Simplify this solution Beyond the Answer
To expand \( 4(4w + 2) \), start by distributing the 4 to both terms inside the parentheses. So, \( 4 \times 4w = 16w \) and \( 4 \times 2 = 8 \). Putting it all together, the expanded expression is \( 16w + 8 \). The simplified version is \( 16w + 8 \). Now, if you want to factor this expression later, you can see that both terms share a common factor of 8. So, you could also express it as \( 8(2w + 1) \) for an alternate representation! Math can often give you these interesting twists!
