(x-3)-expand.jpeg "(x+3)(x-3) Expand")
Expanding (x+3)(x-3)
In algebra, expanding an expression means to simplify it by multiplying out the brackets and combining like terms. In this case, we want to expand the expression (x+3)(x-3).
The Formula for Expanding
To expand (x+3)(x-3), we need to follow the formula for expanding the product of two binomials, which is:
(a+b)(a-b) = a² - b²
In this case, a = x and b = 3. So, we can plug these values into the formula to get:
(x+3)(x-3) = x² - 3²
Simplifying the Expression
Now, we need to simplify the expression x² - 3². To do this, we can evaluate the exponentiation:
x² - 3² = x² - 9
And that's it! We have successfully expanded the expression (x+3)(x-3) to get:
(x+3)(x-3) = x² - 9
Conclusion
Expanding (x+3)(x-3) is a simple process that involves following a formula and simplifying the resulting expression. By doing so, we get a quadratic expression x² - 9 which can be used in various mathematical operations and applications.
