Question

find the product.
$5t^3(t - 4)$

Explanation:

Step1: Apply distributive property

Use the distributive property \(a(b + c)=ab+ac\), here \(a = 5t^{3}\), \(b=t\), \(c=- 4\). So we have \(5t^{3}\times t-5t^{3}\times4\).

Step2: Simplify each term

For the first term, use the rule \(a^{m}\times a^{n}=a^{m + n}\), so \(5t^{3}\times t=5t^{3 + 1}=5t^{4}\). For the second term, \(5t^{3}\times4 = 20t^{3}\). Combine the two terms.

Answer:

\(5t^{4}-20t^{3}\)