Verified Answer :

32a^3 + 12a^2
a^2 (32a + 12)
a^2* 4(8a+3)
4a^2 (8a+3)

Answer:

\(4a^2 \cdot (8a+3)\)

Step-by-step explanation:

GCF(Greatest common Factor) is the largest factor that divides the two numbers.

Given the expression:

\(32a^3+12a^2\)

To find the GCF of \(32a^3\) and \(12a^2\)

Greatest Common factor of  \(32a^3\) and \(12a^2\) is, \(4a^2\).

then;

\(4a^2 \cdot (8a+3)\) [by distributive property, \(a\cdot (b+c) = a\cdot b+ a\cdot c\) ]

Therefore,  the fully factored form of \(32a^3+12a^2\) is, \(4a^2 \cdot (8a+3)\)