(x%2B5)-in-standard-form.jpeg "(x-5)(x+5) In Standard Form")
Expanding (x - 5)(x + 5) into Standard Form
The expression (x - 5)(x + 5) is in factored form. To convert it to standard form, we need to expand it by multiplying the terms.
Expanding the Expression
We can use the FOIL method to expand the expression:
First: x * x = x² Outer: x * 5 = 5x Inner: -5 * x = -5x Last: -5 * 5 = -25
Now, we combine the like terms:
x² + 5x - 5x - 25
Simplifying the expression, we get:
x² - 25
Standard Form
The standard form of a quadratic expression is ax² + bx + c, where a, b, and c are constants.
Therefore, the standard form of (x - 5)(x + 5) is x² - 25.
Conclusion
We have successfully converted the factored expression (x - 5)(x + 5) into its standard form, which is x² - 25. This process involves expanding the expression using the FOIL method and combining like terms.