%5E2-simplify.jpeg "(2x-3y)^2 Simplify")
Simplifying (2x-3y)^2
In algebra, simplifying expressions is an essential skill to master. One common type of expression that we need to simplify is the square of a binomial, such as (2x-3y)^2. In this article, we will explore how to simplify this expression step by step.
The Formula for the Square of a Binomial
Before we dive into the simplification process, let's recall the formula for the square of a binomial:
(a+b)^2 = a^2 + 2ab + b^2
This formula applies to any binomial expression, including our given expression (2x-3y)^2.
Simplifying (2x-3y)^2
Now, let's apply the formula to simplify (2x-3y)^2. We can start by identifying the values of a and b:
a = 2x b = -3y
Next, we can plug these values into the formula:
(2x-3y)^2 = (2x)^2 + 2(2x)(-3y) + (-3y)^2
Simplifying each term, we get:
(2x-3y)^2 = 4x^2 - 12xy + 9y^2
And that's it! We have successfully simplified the expression (2x-3y)^2.
Conclusion
Simplifying expressions like (2x-3y)^2 may seem daunting at first, but with the right formula and a little practice, it becomes a breeze. Remember to always follow the order of operations (PEMDAS) and to simplify each term carefully. With these skills, you'll be ready to tackle more complex algebraic expressions in no time.
