Question

find the product. simplify your a\\(4r(2r^{2}-6)\\)

Explanation:

Step1: Apply distributive property

Multiply \(4r\) with each term inside the parentheses.
\(4r\times2r^{2}-4r\times6\)

Step2: Simplify each term

For the first term, use the rule of exponents \(a^{m}\times a^{n}=a^{m + n}\) and multiply the coefficients: \(4\times2 = 8\) and \(r\times r^{2}=r^{1 + 2}=r^{3}\), so the first term is \(8r^{3}\).
For the second term, multiply the coefficients: \(4\times6 = 24\), so the second term is \(24r\).
Putting it together, we get \(8r^{3}-24r\).

Answer:

\(8r^{3}-24r\)