Final answer:
The student's work is not correct because they did not use the distributive property to correctly expand the expression.
Step-by-step explanation:
The student's work is not correct. When expanding an expression, we use the distributive property to multiply each term inside the parentheses by the term outside the parentheses. The student did not correctly apply this property. Let's take a look at an example to illustrate:
Student's work: 2(x + 3) = 2x + 6
Correct expansion: 2(x + 3) = 2 * x + 2 * 3 = 2x + 6
As you can see, each term inside the parentheses is multiplied by the term outside, resulting in the correct expanded form. The student's work is missing these multiplication steps and only writes down the terms as they are.