Verified Answer :

The GCF of this polynomial isĀ x^6y^3.
8x^6y^5 - 3x^8y^3 = x^6y^3 (8y^2 - 3x^2)

This polynomial cannot be factorized any further. Hope this helps!

Answer:

GCF(Greatest Common Factor) states that the largest number that will divide the given polynomial.

Given the polynomial: \(8x^6y^5-3x^8y^3\)

We write :

\(8x^6y^5 = 8 \cdot x^6 \cdot y^3 \cdot y^2\) and

\(3x^8y^3=3x^6 \cdot x^2 \cdot y^3\)

Greatest Common factor of \(8x^6y^5\) and \(3x^8y^3\) is \(x^6y^3\)

then;

\(8x^6y^5-3x^8y^3 = x^6y^3(8y^2-3x^2)\)

Therefore, the GCF of the given polynomial is, \(x^6y^3\)