Factor completely. 64-x^(2) Answer:

Recognize as difference of squares: Recognize the expression as a difference of squares. The expression 64 - x^2 can be written as a^2 - b^2, where a = 8 and b = x, since 8^2 = 64.Apply 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 can factor the expression as follows: 64 - x^2 = (8^2) - (x^2) = (8 + x)(8 - x).Check for errors: Check the result for possible errors. To check, we can expand the factors to see if we get the original expression: (8 + x)(8 - x) = 8^2 - x^2 = 64 - x^2. Since this matches the original expression, there are no errors.

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Factor completely. $\newline$ $64-x^{2}$ $\newline$ Answer:

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Math Problems

Algebra 1

Evaluate integers raised to positive rational exponents

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Q. Factor completely.

\newline

64-x^{2}

\newline

Answer:

Recognize as difference of squares: Recognize the expression as a difference of squares. $\newline$ The expression $64 - x^2$ can be written as $a^2 - b^2$ , where $a = 8$ and $b = x$ , since $8^2 = 64$ .
Apply formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a + b)(a - b)$ . Using this formula, we can factor the expression as follows: $\newline$ $64 - x^2 = (8^2) - (x^2) = (8 + x)(8 - x)$ .
Check for errors: Check the result for possible errors. $\newline$ To check, we can expand the factors to see if we get the original expression: $\newline$ $(8 + x)(8 - x) = 8^2 - x^2 = 64 - x^2$ . $\newline$ Since this matches the original expression, there are no errors.