Identify Form: Identify the form of the expression. 100 - x^2 can be seen as a difference of squares, similar to a^2 - b^2.Match to a^2 - b^2: Match the expression to the form a^2 - b^2. Here, 100 = 10^2 and x^2 = x^2, so 100 - x^2 = 10^2 - x^2.Apply Formula: Apply the difference of squares formula. Using (a - b)(a + b) = a^2 - b^2, we get (10 - x)(10 + x).

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Factor $100 - x^2$

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Math Problems

Algebra 1

Factor quadratics: special cases

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Q. Factor

100 - x^2

Identify Form: Identify the form of the expression. $100 - x^2$ can be seen as a difference of squares, similar to $a^2 - b^2$ .
Match to $a^2 - b^2$ : Match the expression to the form $a^2 - b^2$ . Here, $100 = 10^2$ and $x^2 = x^2$ , so $100 - x^2 = 10^2 - x^2$ .
Apply Formula: Apply the difference of squares formula. $\newline$ Using $(a - b)(a + b) = a^2 - b^2$ , we get $(10 - x)(10 + x)$ .