How would the expression x^2-7 be rewritten using Difference of Squares?

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wegnerkolmp2741o wegnerkolmp2741o · Answer 1 · 2019-01-03T01:21:38+01:00

Answer:

C. (x - sqrt(7)) (x+sqrt(7))

Step-by-step explanation:

We need to use the difference of squares

x^2-a^2 = (x-a) (x+a)

Let x=x and a^2 = 7 so a= sqrt(7)

x^2 -7 can be rewritten as

(x - sqrt(7)) (x+sqrt(7))

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anjithaka anjithaka · Answer 2 · 2022-06-18T06:21:42+02:00

The expression [tex]x^2-7[/tex] be rewritten using Difference of Squares as

[tex](x+\sqrt{7})(x -(\sqrt{7})[/tex].

Every difference of squares problem can be factored as follows:

[tex]a^{2} -b^{2}[/tex] = (a + b)(a – b) or (a – b)(a + b).

So, all you need to do to factor in these types of problems is to determine what numbers squares will produce the desired results.

expression [tex]x^2-7[/tex] be rewritten using Difference of Squares

[tex](x)^2 -(\sqrt{7} )^2=(x+\sqrt{7})(x -(\sqrt{7})[/tex]

Therefore, the correct answer is option C. [tex](x+\sqrt{7})(x -(\sqrt{7})[/tex].

To learn more about the Difference between Squares

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