2-answer.jpeg "(2x+3y)2 Answer")
Expanding the Square of a Binomial: (2x+3y)²
In algebra, expanding the square of a binomial is a crucial concept that involves multiplying a binomial by itself. In this article, we will explore the formula and steps to expand the square of a binomial, specifically (2x+3y)².
The Formula
The formula to expand the square of a binomial is:
(a+b)² = a² + 2ab + b²
Where a and b are the terms of the binomial.
Expanding (2x+3y)²
Using the formula above, we can expand (2x+3y)² as follows:
(2x+3y)² = (2x)² + 2(2x)(3y) + (3y)²
Simplifying the Expansion
Now, let's simplify each term:
- (2x)² = 4x²
- 2(2x)(3y) = 12xy
- (3y)² = 9y²
The Final Answer
Combining the simplified terms, we get:
(2x+3y)² = 4x² + 12xy + 9y²
Therefore, the expanded form of (2x+3y)² is 4x² + 12xy + 9y².
Conclusion
In this article, we have successfully expanded the square of the binomial (2x+3y) using the formula and steps outlined above. This concept is essential in algebra and is used to simplify complex expressions. With practice, you'll become proficient in expanding the square of binomials and tackling more challenging algebraic expressions.
