Question
Use the distributive property to remove the parentheses. \[ 4 c^{4}\left(5 c+6 c^{4}\right) \] Simplify your answer as much as possible.
Ask by Lawson Craig. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
20c⁵ + 24c⁸
Solution
To remove the parentheses using the distributive property, multiply 4c⁴ by each term inside the parentheses:
1. Multiply 4c⁴ by 5c:
4c⁴ × 5c = 20c⁵
2. Multiply 4c⁴ by 6c⁴:
4c⁴ × 6c⁴ = 24c⁸
So, the expression simplifies to:
20c⁵ + 24c⁸
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Simplify this solution Bonus Knowledge
To apply the distributive property, we'll multiply \(4c^4\) by each term inside the parentheses: \[ 4c^4(5c) + 4c^4(6c^4) \] Now, let's perform the multiplication: 1. \(4c^4 \times 5c = 20c^{5}\) 2. \(4c^4 \times 6c^4 = 24c^{8}\) Putting it all together, we have: \[ 20c^5 + 24c^8 \] Finally, we can write the expression in standard form (with the highest degree first): \[ 24c^{8} + 20c^{5} \]
