%5E2-in-standard-form.jpeg "(x-7)^2 In Standard Form")
Expanding (x-7)² to Standard Form
In mathematics, the standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants. Let's expand the expression (x-7)² to get it into this form.
Understanding the Square
The expression (x-7)² is essentially the product of (x-7) multiplied by itself:
(x - 7)² = (x - 7)(x - 7)
Expanding using FOIL
To expand the expression, we can use the FOIL method (First, Outer, Inner, Last):
- First: x * x = x²
- Outer: x * -7 = -7x
- Inner: -7 * x = -7x
- Last: -7 * -7 = 49
Now, let's combine the terms:
x² - 7x - 7x + 49
Simplifying the Expression
Finally, combine the like terms (-7x and -7x) to get the standard form:
x² - 14x + 49
Therefore, the standard form of (x-7)² is x² - 14x + 49.