x^(2)-36 Which of the following is equivalent to the given expression? Choose 1 answer: (A) (x-6)^(2) (B) (x+6)^(2) (c) (x-6)(x+6) (D) x(x-36)

Recognize the expression: Recognize the given expression as a difference of squares. The expression x^2 - 36 can be factored because it is a difference of two perfect squares. The general form of a difference of squares is a^2 - b^2 = (a - b)(a + b).Identify a and b: Identify a and b for the difference of squares. In the expression x^2 - 36, a is x and b is 6 because x^2 is the square of x and 36 is the square of 6. Therefore, a^2 = x^2 and b^2 = 36.Apply the difference of squares formula: Apply the difference of squares formula. Using the formula from Step 1, we can rewrite x^2 - 36 as (x - 6)(x + 6).

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Algebra 1

Negative exponents

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x^{2}-36

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Which of the following is equivalent to the given expression?

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Choose

1

answer:

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(A)

(x-6)^{2}

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(B)

(x+6)^{2}

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(C)

(x-6)(x+6)

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(D)

x(x-36)

Recognize the expression: Recognize the given expression as a difference of squares. $\newline$ The expression $x^2 - 36$ can be factored because it is a difference of two perfect squares. The general form of a difference of squares is $a^2 - b^2 = (a - b)(a + b)$ .
Identify a and b: Identify a and b for the difference of squares. $\newline$ In the expression $x^2 - 36$ , a is $x$ and b is $6$ because $x^2$ is the square of $x$ and $36$ is the square of $6$ . Therefore, $a^2 = x^2$ and $b^2 = 36$ .
Apply the difference of squares formula: Apply the difference of squares formula. $\newline$ Using the formula from Step $1$ , we can rewrite $x^2 - 36$ as $(x - 6)(x + 6)$ .