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(x+1)^2-4 In Standard Form

less than a minute read Jun 16, 2024
(x+1)^2-4 In Standard Form

Simplifying (x + 1)² - 4 to Standard Form

The expression (x + 1)² - 4 is a quadratic expression in its factored form. To express it in standard form, we need to expand and simplify it.

Expanding the Expression

  1. Expand the square: (x + 1)² means (x + 1) multiplied by itself. (x + 1)² = (x + 1)(x + 1) = x² + x + x + 1 = x² + 2x + 1

  2. Combine terms: Now our expression looks like this: x² + 2x + 1 - 4

  3. Simplify: Combine the constant terms. x² + 2x - 3

Standard Form

The standard form of a quadratic expression is ax² + bx + c, where a, b, and c are constants.

Therefore, (x + 1)² - 4 in standard form is x² + 2x - 3.

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