(x-3)-expand-and-simplify.jpeg "(x+4)(x-3) Expand And Simplify")
Expanding and Simplifying (x+4)(x-3)
In this article, we will explore the process of expanding and simplifying the algebraic expression (x+4)(x-3).
Expanding the Expression
To expand the expression (x+4)(x-3), we need to follow the order of operations (PEMDAS) and multiply each term in the first binomial by each term in the second binomial.
(x+4)(x-3) = x(x) - x(3) + 4(x) - 4(3)
= x² - 3x + 4x - 12
Simplifying the Expression
Now that we have expanded the expression, we need to simplify it by combining like terms.
x² - 3x + 4x - 12
= x² + x - 12
The final simplified expression is x² + x - 12.
Conclusion
In this article, we have successfully expanded and simplified the algebraic expression (x+4)(x-3). This process is an essential skill in algebra and is used extensively in various mathematical concepts. By following the order of operations and combining like terms, we can simplify complex expressions and make them easier to work with.
I hope this article helps you understand the process of expanding and simplifying algebraic expressions!
