To expand the expression x(y + 3), you can use the distributive property, which states that a(b + c) = ab + ac. Essentially, you need to multiply each term inside the parentheses by the term outside the parentheses.
Starting with the expression:
x(y + 3)
We can apply the distributive property:
- Multiply x by y: xy
- Then, multiply x by 3: 3x
Now, combine these results:
xy + 3x
Thus, the expanded form of x(y + 3) is:
xy + 3x
This expansion is not only useful in algebraic manipulation but also serves as a foundation for more complex expressions. By understanding how to expand simpler expressions like this, you will be well-equipped to tackle more challenging algebraic problems in the future!