Question

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

Answer 1

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))

Answer 2

The expression $x^2-7$ be rewritten using Difference of Squares as

$(x+\sqrt{7})(x -(\sqrt{7})$.

Difference of Squares

Every difference of squares problem can be factored as follows:

$a^{2} -b^{2}$ = (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 $x^2-7$ be rewritten using Difference of Squares

$(x)^2 -(\sqrt{7} )^2=(x+\sqrt{7})(x -(\sqrt{7})$

Therefore, the correct answer is option C. $(x+\sqrt{7})(x -(\sqrt{7})$.

To learn more about the Difference between Squares

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