2-answer.jpeg "(2x+3)2 Answer")
(2x+3)²: A Simple yet Powerful Algebraic Expression
In algebra, one of the most fundamental concepts is the expansion of binomials. A binomial is an expression consisting of two terms, such as (2x+3). When we raise a binomial to a power, like (2x+3)², we need to follow certain rules to expand it correctly. In this article, we will explore the expansion of (2x+3)² and provide a step-by-step guide on how to do it.
The Formula
The formula for expanding (a+b)² is:
(a+b)² = a² + 2ab + b²
Where a and b are the two terms of the binomial.
Applying the Formula to (2x+3)²
Now, let's apply the formula to (2x+3)². We will replace a with 2x and b with 3.
(2x+3)² = (2x)² + 2(2x)(3) + 3²
Expanding the Expression
Next, we will expand each term:
(2x)² = 4x²
2(2x)(3) = 12x
3² = 9
Now, let's combine the terms:
(2x+3)² = 4x² + 12x + 9
And that's the answer!
Conclusion
In conclusion, expanding (2x+3)² is a straightforward process when we follow the correct formula. By applying the formula and expanding each term, we arrive at the final answer: (2x+3)² = 4x² + 12x + 9. This expression can be used in various mathematical problems, such as solving quadratic equations, graphing functions, and more.
