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Greenleafable
The GCF of this polynomial is 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: [tex]8x^6y^5-3x^8y^3[/tex]

We write :

[tex]8x^6y^5 = 8 \cdot x^6 \cdot y^3 \cdot y^2[/tex] and

[tex]3x^8y^3=3x^6 \cdot x^2 \cdot y^3[/tex]

Greatest Common factor of [tex]8x^6y^5[/tex] and [tex]3x^8y^3[/tex] is [tex]x^6y^3[/tex]

then;

[tex]8x^6y^5-3x^8y^3 = x^6y^3(8y^2-3x^2)[/tex]

Therefore, the GCF of the given polynomial is, [tex]x^6y^3[/tex]