%5E3-expand.jpeg "(x-2)^3 Expand")
Expansion of (x-2)^3
In algebra, expanding an expression means to simplify it by removing any parentheses or brackets. In this article, we will learn how to expand (x-2)^3.
What is Expansion?
Expansion is a process in algebra where we simplify an expression by removing parentheses or brackets. For example, 2(x + 3) can be expanded to 2x + 6. In this process, we multiply each term inside the parentheses with the term outside the parentheses.
The Formula for Expansion
To expand (x-2)^3, we can use the formula for the cube of a binomial:
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
In our case, a = x and b = 2. Let's plug these values into the formula.
(x-2)^3 Expansion
Using the formula above, we get:
(x - 2)^3 = x^3 - 3x^2(2) + 3x(2)^2 - (2)^3
Simplifying the expression, we get:
(x - 2)^3 = x^3 - 6x^2 + 12x - 8
And that's the final answer!
Conclusion
In this article, we learned how to expand (x-2)^3 using the formula for the cube of a binomial. We simplified the expression and found the final answer to be x^3 - 6x^2 + 12x - 8. Remember, expansion is a crucial concept in algebra, and it's used in many mathematical operations.
