Question

factor out the greatest common factor.
9b⁷ − 4b⁸ + 3b⁵
? (9b² − 4b³ + 3)

Explanation:

Step1: Identify GCF of coefficients and variables

For coefficients 9, -4, 3: GCF is 1 (but check variables). For \(b^7\), \(b^8\), \(b^5\): lowest power is \(b^5\). So GCF is \(b^5\).

Step2: Factor out \(b^5\)

Divide each term by \(b^5\): \(9b^7\div b^5 = 9b^2\), \(-4b^8\div b^5=-4b^3\), \(3b^5\div b^5 = 3\). So factored form is \(b^5(9b^2 - 4b^3 + 3)\).

Answer:

\(b^5\)