%5E2-expand-and-simplify.jpeg "(3x-2)^2 Expand And Simplify")
Expanding and Simplifying (3x-2)^2
In algebra, expanding and simplifying expressions involving parentheses and exponents is an essential skill. In this article, we will learn how to expand and simplify the expression (3x-2)^2.
Expanding (3x-2)^2
To expand (3x-2)^2, we need to multiply the binomial (3x-2) by itself. Using the distributive property, we can write:
(3x-2)^2 = (3x-2)(3x-2)
= 3x(3x) - 3x(2) - 2(3x) + 2(2)
= 9x^2 - 6x - 6x + 4
= 9x^2 - 12x + 4
Simplifying (3x-2)^2
The expression 9x^2 - 12x + 4 is already simplified. We cannot combine any like terms, so the final simplified form of (3x-2)^2 is:
9x^2 - 12x + 4
Therefore, we have successfully expanded and simplified the expression (3x-2)^2.
Important Notes
- When expanding binomials with exponents, make sure to multiply each term in the first binomial by each term in the second binomial.
- Simplify your expression by combining like terms.
- Always check your work to ensure that your final answer is correct.
By following these steps, you can expand and simplify any expression involving parentheses and exponents. Practice makes perfect, so try expanding and simplifying different expressions on your own!
