Question

use factoring to write three different equivalent expressions for 18c² + 90c. select all that apply. a. 18c(c + 5) b. 18c(5 - c) c. 2c(9c + 45) d. 6c(15c + 3) e. 6c(3c + 15) f. -2c(9c - 45)

Explanation:

Step1: Find the GCF of terms

The GCF of $18c^{2}$ and $90c$ is $18c$. So, $18c^{2}+90c = 18c(c + 5)$.

Step2: Factor out different common factors

The GCF of $18c^{2}$ and $90c$ can also be considered as $2c$. Then $18c^{2}+90c=2c(9c + 45)$.

Step3: Another common - factor case

The GCF can be $6c$. Then $18c^{2}+90c=6c(3c + 15)$.

Answer:

A. $18c(c + 5)$
C. $2c(9c + 45)$
E. $6c(3c + 15)$