For this case we must find the greatest common factor of both expressions, the GFC will be the greatest number that is a factor of both numbers, that is:
The number 4 is the greatest number that divides 32 and 12 resulting in a whole number.
[tex]\frac {32} {4} = 8\\\frac {12} {4} = 3[/tex]
In addition, both expressions have as a common factor,[tex]a ^ 2[/tex]:
[tex]4a ^ 2 (8a + 3)[/tex]
Thus,[tex]32a ^ 3 + 12a ^ 2 = 4a ^ 2 (8a + 3)[/tex]
Answer:
[tex]4a ^ 2 (8a + 3)[/tex]
Option A
