Verified Answer :

4a3b5 − 16a5b2 + 12a2b3 = 4 a^2 b^2 ( ab^3 - 4 a^3 + 3 * b^3)

Answer:

\(4a^2b^2(ab^3 -4a^3+3b)\)

Step-by-step explanation:

Given : \(4a^3b^5 -16a^5b^2+12a^2b^3\)

To Find: Find factored form.

Solution:

\(4a^3b^5 -16a^5b^2+12a^2b^3\)

Take 4 as common

\(4(a^3b^5 -4a^5b^2+3a^2b^3)\)

Now take \(a^2\) as common

\(4a^2(ab^5 -4a^3b^2+3b^3)\)

Now take \(b^2\) as common

\(4a^2b^2(ab^3 -4a^3+3b)\)

Hence The factored form of \(4a^3b^5 -16a^5b^2+12a^2b^3\) is  \(4a^2b^2(ab^3 -4a^3+3b)\)