Factor the following expressions.
`5x+25y`

Answer

To factor the expression \(5x + 25y\), we will follow these steps:

### Step 1: Identify the common factor
First, we need to identify the greatest common factor (GCF) of the terms in the expression \(5x\) and \(25y\).

The coefficients are:
- For \(5x\), the coefficient is \(5\).
- For \(25y\), the coefficient is \(25\).

The GCF of \(5\) and \(25\) is \(5\).

### Step 2: Factor out the GCF
Now, we will factor out the GCF from the expression.

We can rewrite the expression as:
\[ 5x + 25y = 5(x) + 5(5y) \]

### Step 3: Combine the factored terms
Now, we can factor out \(5\) from both terms:
\[ 5(x + 5y) \]

### Final Answer
Thus, the factored form of the expression \(5x + 25y\) is:
\[ 5(x + 5y) \]

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