(x-11)^2 In Standard Form

Jasonbradley

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Jun 17, 2024

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Expanding (x-11)² to Standard Form

The expression (x-11)² represents the square of the binomial (x-11). To express it in standard form, we need to expand it by multiplying the binomial by itself.

Expanding the Expression

1. Write out the multiplication: (x - 11)² = (x - 11)(x - 11)
2. Apply the distributive property (FOIL):
   • First: x * x = x²
   • Outer: x * -11 = -11x
   • Inner: -11 * x = -11x
   • Last: -11 * -11 = 121
3. Combine like terms: x² - 11x - 11x + 121
4. Simplify: x² - 22x + 121

Standard Form

Therefore, the standard form of (x-11)² is x² - 22x + 121.

This form is called the standard form because it arranges the terms in descending order of their exponents, making it easier to identify the coefficient of each term and analyze the expression.