Question

find the product. simplify your answer. 4b²(b² - b) save answer

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(c + d)=ac+ad\), here \(a = 4b^{2}\), \(c=b^{2}\), \(d=-b\). So we have \(4b^{2}\times b^{2}-4b^{2}\times b\).

Step2: Multiply the monomials

For \(4b^{2}\times b^{2}\), using the rule \(a^{m}\times a^{n}=a^{m + n}\), we get \(4b^{2 + 2}=4b^{4}\). For \(4b^{2}\times b\), we get \(4b^{2+1}=4b^{3}\). So the expression becomes \(4b^{4}-4b^{3}\).

Answer:

\(4b^{4}-4b^{3}\)