Question

question
video examples
factor completely.
2a³ - 16a²
answer
attempt 1 out of 2

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of \(2a^3\) and \(-16a^2\). The GCF of 2 and 16 is 2, and the GCF of \(a^3\) and \(a^2\) is \(a^2\). So the GCF is \(2a^2\).

Step2: Factor out the GCF

Divide each term by \(2a^2\): \(2a^3\div2a^2 = a\) and \(-16a^2\div2a^2=-8\). So we factor out \(2a^2\) to get \(2a^2(a - 8)\).

Answer:

\(2a^2(a - 8)\)