Question

factor $25y^2 + 10y^3$.

Explanation:

Step1: Find the GCF of coefficients and variables

For coefficients 25 and 10, GCF is 5. For variables \(y^2\) and \(y^3\), GCF is \(y^2\). So overall GCF is \(5y^2\).

Step2: Divide each term by GCF

Divide \(25y^2\) by \(5y^2\) to get 5. Divide \(10y^3\) by \(5y^2\) to get \(2y\).

Step3: Write factored form

Using distributive property in reverse, \(25y^2 + 10y^3=5y^2(5 + 2y)\).

Answer:

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