Answer:
[tex]4a^2 \cdot (8a+3)[/tex]
Step-by-step explanation:
GCF(Greatest common Factor) is the largest factor that divides the two numbers.
Given the expression:
[tex]32a^3+12a^2[/tex]
To find the GCF of [tex]32a^3[/tex] and [tex]12a^2[/tex]
Greatest Common factor of [tex]32a^3[/tex] and [tex]12a^2[/tex] is, [tex]4a^2[/tex].
then;
[tex]4a^2 \cdot (8a+3)[/tex] [by distributive property, [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex] ]
Therefore, the fully factored form of [tex]32a^3+12a^2[/tex] is, [tex]4a^2 \cdot (8a+3)[/tex]
