Final answer:
The algebraic expression 3x - 15 = 3 can be factorized by taking out the common factor of 3, resulting in the factorized form 3(x - 5) = 3.
Step-by-step explanation:
The student is asked to factorize the algebraic expression 3x - 15 = 3.
To factorize the expression, you need to find the common factors in the terms. In this case, both terms on the left side, 3x and -15, have a common factor of 3. You can factor out this common factor to simplify the expression.
Here's how you do it:
- First, write down the expression: 3x - 15.
- Notice that both terms can be divided by 3.
- Factor out the 3: 3(x - 5).
- Now the expression is factorized.
Remember that the equation still needs to be balanced, so the equals side would be: 3(x - 5) = 3.