Question

completely factor 225g^8c^5 + 75gc^5. 225g^8c^5 + 75gc^5 = (simplify your answer. factor completely.)

Explanation:

Step1: Find the GCF

Find the greatest - common factor of \(225g^{8}c^{5}\) and \(75gc^{5}\). The GCF of 225 and 75 is 75, and the GCF of \(g^{8}c^{5}\) and \(gc^{5}\) is \(gc^{5}\). So the GCF of \(225g^{8}c^{5}\) and \(75gc^{5}\) is \(75gc^{5}\).

Step2: Factor out the GCF

\(225g^{8}c^{5}+75gc^{5}=75gc^{5}(3g^{7} + 1)\)

Answer:

\(75gc^{5}(3g^{7}+1)\)