Question

use the distributive property to remove the parentheses.
8w^{4}(4 - 6w^{2})
simplify your answer as much as possible.

Explanation:

Step1: Apply distributive property

Multiply \(8w^4\) with each term inside the parentheses: \(8w^4\times4 - 8w^4\times6w^2\)

Step2: Simplify each term

For the first term: \(8w^4\times4 = 32w^4\)
For the second term: Using the rule \(a^m\times a^n=a^{m + n}\), \(8w^4\times6w^2=48w^{4 + 2}=48w^6\)
So the expression becomes \(32w^4-48w^6\)

Answer:

\(32w^4 - 48w^6\)