Factor completely. 16x^(2)-49y^(2)=

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the product of two binomials. Step Calculation: Recognize that 16x^2 is a perfect square (4x)^2 and 49y^2 is a perfect square (7y)^2. Step Output: The expression is a difference of squares: (4x)^2 - (7y)^2.Apply Difference of Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b), to factor the expression. Step Calculation: Apply the formula with a = 4x and b = 7y to get (4x + 7y)(4x - 7y). Step Output: Factored form: (4x + 7y)(4x - 7y).

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Algebra 2

Factor polynomials

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Q. Factor completely.

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16 x^{2}-49 y^{2}=

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares $\newline$ Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the product of two binomials. $\newline$ Step Calculation: Recognize that $16x^2$ is a perfect square $(4x)^2$ and $49y^2$ is a perfect square $(7y)^2$ . $\newline$ Step Output: The expression is a difference of squares: $(4x)^2 - (7y)^2$ .
Apply Difference of Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$ , to factor the expression. $\newline$ Step Calculation: Apply the formula with $a = 4x$ and $b = 7y$ to get $(4x + 7y)(4x - 7y)$ . $\newline$ Step Output: Factored form: $(4x + 7y)(4x - 7y)$ .