(x-6)-in-standard-form.jpeg "(x-3)(x-6) In Standard Form")
Expanding and Simplifying (x-3)(x-6) to Standard Form
The expression (x-3)(x-6) represents a product of two binomials. To express it in standard form, we need to expand and simplify it.
Expanding the Expression
We can use the FOIL method (First, Outer, Inner, Last) to expand the product:
- First: x * x = x²
- Outer: x * -6 = -6x
- Inner: -3 * x = -3x
- Last: -3 * -6 = 18
Combining all the terms, we get:
x² - 6x - 3x + 18
Simplifying the Expression
Now, we can simplify the expression by combining like terms:
x² - 9x + 18
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-3)(x-6) is x² - 9x + 18.
This process demonstrates how to expand and simplify a product of binomials to obtain a quadratic expression in standard form.