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(x-10)^2 In Standard Form

less than a minute read Jun 17, 2024
(x-10)^2 In Standard Form

Expanding (x - 10)^2 to Standard Form

The expression (x - 10)^2 is written in factored form. To convert it to standard form, which is ax² + bx + c, we need to expand it using the distributive property or by using the formula (a - b)² = a² - 2ab + b².

Method 1: Distributive Property

  1. Rewrite the expression: (x - 10)² = (x - 10)(x - 10)
  2. Distribute:
    • x(x - 10) = x² - 10x
    • -10(x - 10) = -10x + 100
  3. Combine like terms: x² - 10x - 10x + 100 = x² - 20x + 100

Method 2: Formula (a - b)² = a² - 2ab + b²

  1. Identify a and b: In this case, a = x and b = 10.
  2. Substitute into the formula: x² - 2(x)(10) + 10² = x² - 20x + 100

Therefore, (x - 10)² expanded to standard form is x² - 20x + 100.

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