Factor as the product of two binomials. 36-x^(2)=

Identify factoring type: Identify the type of factoring required for the expression 36 - x^2. The expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).Recognize difference of squares: Recognize the expression 36 - x^2 as a difference of squares. 36 = 6 * 6 = 6^2 x^2 = x * x = (x)^2 So, 36 - x^2 = 6^2 - x^2Apply 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: 6^2 - x^2 = (6 - x)(6 + x)Write final factored form: Write the final factored form of the expression. The factored form of 36 - x^2 is (6 - x)(6 + x).

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Math Problems

Algebra 1

Factor quadratics: special cases

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Q. Factor as the product of two binomials.

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36-x^{2}=

Identify factoring type: Identify the type of factoring required for the expression $36 - x^2$ . $\newline$ The expression is a difference of squares, which can be factored using the formula $a^2 - b^2 = (a - b)(a + b)$ .
Recognize difference of squares: Recognize the expression $36 - x^2$ as a difference of squares. $\newline$ $36 = 6 \times 6 = 6^2$ $\newline$ $x^2 = x \times x = (x)^2$ $\newline$ So, $36 - x^2 = 6^2 - x^2$
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: $\newline$ $6^2 - x^2 = (6 - x)(6 + x)$
Write final factored form: Write the final factored form of the expression. $\newline$ The factored form of $36 - x^2$ is $(6 - x)(6 + x)$ .