What is simplify-3/((-3v+2sqrt(6)-3)(3v+2\sqrt{6)+3)} ?

The solution to simplify-3/((-3v+2sqrt(6)-3)(3v+2\sqrt{6)+3)} is -1/(-3v^2-6v+5)

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simplify-3/((-3v+2sqrt(6)-3)(3v+2\sqrt{6)+3)}

simplify

- \frac{3}{( - 3 v + 2 6 - 3 ) ( 3 v + 2 6 + 3 )}

- \frac{1}{- 3 v ^{2} - 6 v + 5}

Solution steps

- \frac{3}{( - 3 v + 2 6 - 3 ) ( 3 v + 2 6 + 3 )}

Expand

(- 3 v + 26 - 3) (3 v + 26 + 3) : - 9 v^{2} - 18 v + 15

= - \frac{3}{- 9 v ^{2} - 18 v + 15}

Factor

- 9 v^{2} - 18 v + 15 : 3 (- 3 v^{2} - 6 v + 5)

= - \frac{3}{3 ( - 3 v ^{2} - 6 v + 5 )}

Cancel the common factor:

3

= - \frac{1}{- 3 v ^{2} - 6 v + 5}

4 e^{2 x} (e^{2 x} - 1)

(1 + \frac{32}{x - 22}) (x - 22)

\frac{12}{( x + 4 ) ( x - 3 )}

(x + 4 + \frac{4}{x}) x^{2}

(- y + 3)^{2}

What is simplify-3/((-3v+2sqrt(6)-3)(3v+2\sqrt{6)+3)} ?
The solution to simplify-3/((-3v+2sqrt(6)-3)(3v+2\sqrt{6)+3)} is -1/(-3v^2-6v+5)