Is there a formula for this kind of q? thank you

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

This has the format of X^2 + B*Y^2 which can be factored into two terms:

(X - SQRT(B)*Y)*(X + SQRT(B)*Y)

Thus, this can be rewritten as (a + SQRT(3)*b)*(a - SQRT(3)*b)

As a check, multiply this out:

a + SQRT(3)*b

a - SQRT(3)*b

-------------------

- a*SQRT(3)*b - 3*b^2

+a*SQRT(3)*b + a^2

= a^2 - 3b^2

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