%5E2-expand.jpeg "(3x-2)^2 Expand")
Expanding (3x-2)^2
In algebra, expanding a binomial expression like (3x-2)^2 is a common operation. In this article, we will learn how to expand this expression step by step.
What is Expansion?
Expansion is the process of multiplying the terms of an expression to obtain a new expression. In the case of binomial expressions, we use the distributive property of multiplication over addition to expand the expression.
Expanding (3x-2)^2
To expand (3x-2)^2, we need to multiply the expression by itself. This means we need to multiply each term in the expression by each other term.
(3x-2)^2 = (3x-2)(3x-2)
Now, let's multiply the terms:
(3x-2)(3x) = 9x^2 - 6x
(3x-2)(-2) = -6x + 4
Now, combine the two expressions:
9x^2 - 6x - 6x + 4
Combine like terms:
9x^2 - 12x + 4
And that's the result! The expansion of (3x-2)^2 is:
(3x-2)^2 = 9x^2 - 12x + 4
Conclusion
In this article, we have learned how to expand the binomial expression (3x-2)^2. By using the distributive property of multiplication over addition, we were able to multiply the terms of the expression and obtain the expanded form. This is an important skill to have in algebra and will be useful in a wide range of mathematical applications.
