What is (sqrt(3x^2+1)-3)(sqrt(3x^2-1)) ?

The solution to (sqrt(3x^2+1)-3)(sqrt(3x^2-1)) is (sqrt(3x^2+1)-3)sqrt(3x^2-1)

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simplify (sqrt(3x^2+1)-3)(sqrt(3x^2-1))

simplify

(3 x^{2} + 1 - 3) (3 x^{2} - 1)

(3 x^{2} + 1 - 3) 3 x^{2} - 1

Solution steps

(3 x^{2} + 1 - 3) (3 x^{2} - 1)

Apply rule:

(a) = a

(3 x^{2} - 1) = 3 x^{2} - 1

= (3 x^{2} + 1 - 3) 3 x^{2} - 1

(2 + \frac{2}{x + 1}) (3 - \frac{6}{x + 2})

\frac{5 a ^{2} + b ^{2}}{3 ( a ^{2} + b ^{2} )}

\frac{48 x ^{2}}{( x - 21 ) ( x + 7 ) ^{2}}

(x + y i) \cdot e^{x + y i}

What is (sqrt(3x^2+1)-3)(sqrt(3x^2-1)) ?
The solution to (sqrt(3x^2+1)-3)(sqrt(3x^2-1)) is (sqrt(3x^2+1)-3)sqrt(3x^2-1)