%5E2-expanded.jpeg "(x+3)^2 Expanded")
Expanding (x+3)^2: A Step-by-Step Guide
When working with algebraic expressions, it's essential to know how to expand squared binomials like (x+3)^2. In this article, we'll walk you through the process of expanding (x+3)^2 using the correct formula and steps.
The Formula:
To expand a squared binomial like (x+3)^2, we can use the following formula:
(a+b)^2 = a^2 + 2ab + b^2
In this case, we'll let a = x and b = 3.
Expanding (x+3)^2:
Using the formula above, we can expand (x+3)^2 as follows:
(x+3)^2 = x^2 + 2(x)(3) + 3^2
Simplifying the Expression:
Now, let's simplify the expression by evaluating the exponents and multiplying the terms:
x^2 + 6x + 9
And that's it! We've successfully expanded (x+3)^2 using the correct formula and steps.
Conclusion:
Expanding squared binomials like (x+3)^2 is a fundamental skill in algebra. By using the formula (a+b)^2 = a^2 + 2ab + b^2 and following the steps outlined above, you can easily expand similar expressions. Remember to practice expanding different squared binomials to become more proficient in algebraic manipulations.
