Question

factor $4a^2 - 10a$.

Explanation:

Step1: Find the GCF of coefficients and variables

The coefficients are 4 and 10. The GCF of 4 and 10 is 2. For the variable part, \(a^2\) and \(a\) have a GCF of \(a\). So the GCF of \(4a^2\) and \(10a\) is \(2a\).

Step2: Divide each term by GCF

Divide \(4a^2\) by \(2a\): \(\frac{4a^2}{2a} = 2a\). Divide \(-10a\) by \(2a\): \(\frac{-10a}{2a} = -5\).

Step3: Write the factored form

Using the distributive property (reverse of factoring out GCF), we get \(2a(2a - 5)\).

Answer:

\(2a(2a - 5)\)