actor out the greatest co \( 4 y^{3}-20 y^{2} \)

To factor out the greatest common factor (GCF) from the expression \( 4y^{3} - 20y^{2} \), first identify the GCF of the coefficients and the variable terms. The coefficients 4 and 20 have a GCF of 4, and the variable \( y^{2} \) is the highest power of \( y \) common in both terms. Thus, factoring out \( 4y^{2} \) gives you: \[ 4y^{3} - 20y^{2} = 4y^{2}(y - 5) \] Voila! The expression is neatly factored. For those wanting to explore further, factoring expressions is key to simplifying algebraic equations and solving them! Learning factoring techniques can open up a whole new world of understanding polynomials, making you the master of your math universe. Don't stop here; keep practicing with different types of polynomials to sharpen your skills!