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