Final answer:
To factor the expression 28x^2y^3z^3 + 24x^3y^4, divide each term by the greatest common factor (GCF) which is 4x^2y^3. The factored form is 4x^2y^3(7z^3 + 6xy).
Step-by-step explanation:
To factor the expression 28x^2y^3z^3 + 24x^3y^4, we look for the greatest common factor (GCF). In this case, the GCF is 4x^2y^3. We divide each term in the expression by the GCF:
28x^2y^3z^3 / 4x^2y^3 = 7z^3
24x^3y^4 / 4x^2y^3 = 6xy
The factored form of the expression is:
4x^2y^3(7z^3 + 6xy)