Question

factor out the gcf $15y^{3}+25y^{2}$.

Explanation:

Step1: Find GCF of coefficients

Factors of 15: \(1, 3, 5, 15\)
Factors of 25: \(1, 5, 25\)
GCF of 15 and 25 is \(5\).

Step2: Find GCF of variables

For \(y^3\) and \(y^2\), the least power of \(y\) is \(y^2\).

Step3: Factor out GCF

Factor out \(5y^2\) from \(15y^3 + 25y^2\):
\(15y^3 + 25y^2 = 5y^2(3y + 5)\)

Answer:

\(5y^2(3y + 5)\)