%5E2-expand.jpeg "(2x-y)^2 Expand")
Expanding (2x-y)^2
In algebra, expanding an expression like (2x-y)^2 means to multiply it by itself and simplify the result. This process is known as squaring a binomial. In this article, we will learn how to expand (2x-y)^2 step by step.
The Formula
To expand (2x-y)^2, we can use the formula:
(a+b)^2 = a^2 + 2ab + b^2
In our case, a = 2x and b = -y. Let's plug these values into the formula.
Expanding the Expression
(2x-y)^2 = (2x)^2 + 2(2x)(-y) + (-y)^2
Now, let's simplify each term:
(2x)^2 = 4x^2
2(2x)(-y) = -4xy
(-y)^2 = y^2
The Final Result
(2x-y)^2 = 4x^2 - 4xy + y^2
And that's it! We have successfully expanded (2x-y)^2.
Remember
When expanding a binomial expression, always remember to follow the formula and simplify each term carefully. With practice, you'll become more comfortable with this process and be able to expand more complex expressions with ease.
