Question

what is the greatest common factor of this expression?\\(12m + 18m^2\\)\\(\bigcirc\\) a. \\(2m\\)\\(\bigcirc\\) b. \\(6m\\)\\(\bigcirc\\) c. \\(6\\)\\(\bigcirc\\) d. \\(2\\)

Explanation:

Step1: Factor coefficients

Prime factors: $12=2^2\times3$, $18=2\times3^2$. GCF of 12 and 18 is $2\times3=6$.

Step2: Factor variable terms

Terms: $m=m^1$, $m^2=m^2$. GCF is $m^1=m$.

Step3: Combine GCFs

Multiply coefficient and variable GCFs: $6\times m=6m$.

Answer:

B. 6m