Factor completely. 36c^(2)-121d^(2)=

Recognize the Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of two squares. Step Calculation: Recognize that 36c^2 is a perfect square (6c)^2 and 121d^2 is a perfect square (11d)^2. Step Output: The expression can be written as (6c)^2 - (11d)^2.Apply the Difference of Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the formula a^2 - b^2 = (a + b)(a - b) to factor the expression. Step Calculation: Apply the formula with a = 6c and b = 11d to get (6c + 11d)(6c - 11d). Step Output: Factored form is (6c + 11d)(6c - 11d).

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Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor completely.

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36 c^{2}-121 d^{2}=

Recognize the Difference of Squares: Step Title: Recognize the Difference of Squares $\newline$ Concise Step Description: Identify that the expression is a difference of two squares. $\newline$ Step Calculation: Recognize that $36c^2$ is a perfect square $(6c)^2$ and $121d^2$ is a perfect square $(11d)^2$ . $\newline$ Step Output: The expression can be written as $(6c)^2 - (11d)^2$ .
Apply the Difference of Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the formula $a^2 - b^2 = (a + b)(a - b)$ to factor the expression. $\newline$ Step Calculation: Apply the formula with $a = 6c$ and $b = 11d$ to get $(6c + 11d)(6c - 11d)$ . $\newline$ Step Output: Factored form is $(6c + 11d)(6c - 11d)$ .