Factor completely. 1-y^(2) Answer:

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 a sum and difference. Step Calculation: Recognize that $1 - y^2$ can be written as $1^2 - y^2$. Step Output: Expression identified as a difference of squares.Apply 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 $a = 1$ and $b = y$, resulting in $(1 + y)(1 - y)$. Step Output: Factored form using the difference of squares formula.

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Q. Factor completely.

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1-y^{2}

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Answer:

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 a sum and difference. $\newline$ Step Calculation: Recognize that $1 - y^2$ can be written as $1^2 - y^2$ . $\newline$ Step Output: Expression identified as a difference of squares.
Apply 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 $a = 1$ and $b = y$ , resulting in $(1 + y)(1 - y)$ . $\newline$ Step Output: Factored form using the difference of squares formula.