Factor as the product of two binomials. x^(2)-100=

Determine the approach: Determine the approach to factor x^2 - 100. We recognize that x^2 - 100 is a difference of squares because it can be written as x^2 - 10^2.Write in the form: Write x^2 - 100 in the form of a^2 - b^2. x^2 = x * x = (x)^2 100 = 10 * 10 = 10^2 So, x^2 - 100 = (x)^2 - 10^2Apply difference of squares formula: Apply the difference of squares formula. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). Using this formula, we factor (x)^2 - 10^2 into (x - 10)(x + 10).

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Factor as the product of two binomials.

x^(2)-100=

Factor as the product of two binomials. $\newline$ $x^{2}-100$

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Algebra 1

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Q. Factor as the product of two binomials.

\newline

x^{2}-100

Determine the approach: Determine the approach to factor $x^2 - 100$ . $\newline$ We recognize that $x^2 - 100$ is a difference of squares because it can be written as $x^2 - 10^2$ .
Write in the form: Write $x^2 - 100$ in the form of $a^2 - b^2$ . $\newline$ $x^2 = x \times x = (x)^2$ $\newline$ $100 = 10 \times 10 = 10^2$ $\newline$ So, $x^2 - 100 = (x)^2 - 10^2$
Apply difference of squares formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . $\newline$ Using this formula, we factor $(x)^2 - 10^2$ into $(x - 10)(x + 10)$ .