Question
Rewrite without parentheses. \[ -4 w^{2}\left(-6 w^{3}-7 w\right) \] Simplify your answer as much as possible.
Ask by Lewis Ayala. in the United States
Nov 04,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\(24w^{5}+28w^{3}\)
Solution
Calculate or simplify the expression \( -4w^2(-6w^3-7w) \).
Simplify the expression by following steps:
- step0: Solution:
\(-4w^{2}\left(-6w^{3}-7w\right)\)
- step1: Rewrite the expression:
\(-4\left(-6w^{3}-7w\right)w^{2}\)
- step2: Multiply the expression:
\(4\left(6w^{2}+7\right)w^{3}\)
- step3: Rearrange the terms:
\(24w^{5}+28w^{3}\)
The expression \(-4w^{2}(-6w^{3}-7w)\) simplifies to \(24w^{5}+28w^{3}\) without parentheses.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To rewrite the expression without parentheses and simplify, we start with: -4w² × -6w³ - 4w² × -7w. Now, let's multiply: 24w⁵ + 28w³. So, the simplified expression is: 24w⁵ + 28w³.
