(2x+3y)2 Answer

2 min read Jun 16, 2024

Expanding the Square: (2x + 3y)2

This article will walk you through the process of expanding the expression (2x + 3y)2. This is a common algebra problem that involves understanding the concept of squaring a binomial.

Understanding the Concept

The expression (2x + 3y)2 means multiplying the binomial (2x + 3y) by itself. In other words, we're expanding:

(2x + 3y)2 = (2x + 3y) * (2x + 3y)

Applying the FOIL Method

To expand the expression, we can use the FOIL method:

First: Multiply the first terms of each binomial (2x * 2x = 4x2)
Outer: Multiply the outer terms of the binomials (2x * 3y = 6xy)
Inner: Multiply the inner terms of the binomials (3y * 2x = 6xy)
Last: Multiply the last terms of each binomial (3y * 3y = 9y2)

Combining Like Terms

After applying FOIL, we have:

4x2 + 6xy + 6xy + 9y2

Now, we combine the like terms:

4x2 + 12xy + 9y2

Conclusion

Therefore, the expanded form of (2x + 3y)2 is 4x2 + 12xy + 9y2. Remember that understanding the FOIL method and combining like terms are crucial skills for successfully expanding binomials.