Question

factor $15b^{3}-8b^{2}$.

Explanation:

Step1: Identify the GCF of terms

Find the greatest common factor (GCF) of \(15b^{3}\) and \(-8b^{2}\). For the coefficients, GCF of 15 and 8 is 1. For the variable part, the lowest power of \(b\) is \(b^{2}\). So GCF is \(b^{2}\).

Step2: Factor out the GCF

Factor out \(b^{2}\) from each term: \(15b^{3}-8b^{2}=b^{2}(15b - 8)\)

Answer:

\(b^{2}(15b - 8)\)