What is (sqrt(15)x^2-4sqrt(15))/(15(x+2)) ?

The solution to (sqrt(15)x^2-4sqrt(15))/(15(x+2)) is (x-2)/(sqrt(15))

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simplify (sqrt(15)x^2-4sqrt(15))/(15(x+2))

simplify

\frac{15 x ^{2} - 4 15}{15 ( x + 2 )}

\frac{x - 2}{15}

Solution steps

\frac{15 x ^{2} - 4 15}{15 ( x + 2 )}

Factor

15 x^{2} - 415 : 15 (x + 2) (x - 2)

= \frac{15 ( x + 2 ) ( x - 2 )}{15 ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{15 ( x - 2 )}{15}

Apply radical rule:

a = a a

15 = 1515

= \frac{15 ( x - 2 )}{15 15}

Cancel the common factor:

15

= \frac{x - 2}{15}

(- 6 sin (t) - 3 t cos (t)) \cdot (3 cos (t) - 3 t sin (t))

\frac{3 s ^{2} + 9 s + 12}{( s + 2 ) \cdot ( s ^{2} + 5 s + 11 )}

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

1 - sin^{2} (x)

What is (sqrt(15)x^2-4sqrt(15))/(15(x+2)) ?
The solution to (sqrt(15)x^2-4sqrt(15))/(15(x+2)) is (x-2)/(sqrt(15))