Factor completely. 1-16x^(2) Answer:

Identify Factoring Type: Identify the type of factoring required for the expression 1 - 16x^2. The expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).Recognize Expression Form: Recognize the expression 1 - 16x^2 as a difference of squares. 1 can be written as 1^2 and 16x^2 can be written as (4x)^2. Therefore, the expression is in the form a^2 - b^2 where a = 1 and b = 4x.Apply Difference of Squares Formula: Apply the difference of squares formula to factor the expression. Using the formula a^2 - b^2 = (a - b)(a + b), we get (1 - 4x)(1 + 4x) as the factored form of 1 - 16x^2.

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Algebra 1

Factor quadratics: special cases

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Q. Factor completely.

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1-16 x^{2}

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Answer:

Identify Factoring Type: Identify the type of factoring required for the expression $1 - 16x^2$ . The expression is a difference of squares, which can be factored using the formula $a^2 - b^2 = (a - b)(a + b)$ .
Recognize Expression Form: Recognize the expression $1 - 16x^2$ as a difference of squares. $\newline$ $1$ can be written as $1^2$ and $16x^2$ can be written as $(4x)^2$ . Therefore, the expression is in the form $a^2 - b^2$ where $a = 1$ and $b = 4x$ .
Apply Difference of Squares Formula: Apply the difference of squares formula to factor the expression. $\newline$ Using the formula $a^2 - b^2 = (a - b)(a + b)$ , we get $(1 - 4x)(1 + 4x)$ as the factored form of $1 - 16x^2$ .