Identify Equation: Step Title: Identify the Equation Concise Step Description: Recognize the equation as a difference of squares. Calculation: (x + 1)^2 - 36 can be seen as a^2 - b^2 where a = (x + 1) and b = 6.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares formula, which is a^2 - b^2 = (a + b)(a - b). Calculation: (x + 1 + 6)(x + 1 - 6) = (x + 7)(x - 5).Set Equal to Zero: Step Title: Set Each Factor Equal to Zero Concise Step Description: Since the product of the factors equals zero, set each factor equal to zero to find the solutions for x. Calculation: x + 7 = 0 and x - 5 = 0.Solve for x: Step Title: Solve for x Concise Step Description: Solve each equation for x. Calculation: x = -7 and x = 5.

Algebra 2

Factor polynomials

Full solution

(x + 1)^2 - 36 = 0

Identify Equation: Step Title: Identify the Equation $\newline$ Concise Step Description: Recognize the equation as a difference of squares. $\newline$ Calculation: $(x + 1)^2 - 36$ can be seen as $a^2 - b^2$ where $a = (x + 1)$ and $b = 6$ .
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula, which is $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Calculation: $(x + 1 + 6)(x + 1 - 6) = (x + 7)(x - 5)$ .
Set Equal to Zero: Step Title: Set Each Factor Equal to Zero $\newline$ Concise Step Description: Since the product of the factors equals zero, set each factor equal to zero to find the solutions for $x$ . $\newline$ Calculation: $x + 7 = 0$ and $x - 5 = 0$ .
Solve for $x$ : Step Title: Solve for $x$ $\newline$ Concise Step Description: Solve each equation for $x$ . $\newline$ Calculation: $x = -7$ and $x = 5$ .