Question

use the distributive property to remove the parentheses. \\(7b^{2}(8b^{4}-9)\\) simplify your answer as much as possible.

Explanation:

Step1: Apply distributive property

Multiply \(7b^2\) with each term inside the parentheses.
\(7b^2\times8b^4 - 7b^2\times9\)

Step2: Simplify each term

For the first term, use the rule \(a^m\times a^n=a^{m + n}\) and multiply the coefficients:
\(7\times8\times b^{2+4}-7\times9\times b^2\)
\(56b^6 - 63b^2\)

Answer:

\(56b^6 - 63b^2\)