What is ((2x+2+sqrt(6))(2x+2-sqrt(6)))/6 ?

The solution to ((2x+2+sqrt(6))(2x+2-sqrt(6)))/6 is (2x^2+4x-1)/3

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simplify ((2x+2+sqrt(6))(2x+2-sqrt(6)))/6

simplify

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

\frac{2 x ^{2} + 4 x - 1}{3}

Solution steps

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

Expand

(2 x + 2 + 6) (2 x + 2 - 6) : 4 x^{2} + 8 x - 2

= \frac{4 x ^{2} + 8 x - 2}{6}

Factor

4 x^{2} + 8 x - 2 : 2 (2 x^{2} + 4 x - 1)

= \frac{2 ( 2 x ^{2} + 4 x - 1 )}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 ( 2 x ^{2} + 4 x - 1 )}{2 \cdot 3}

Cancel the common factor:

2

= \frac{2 x ^{2} + 4 x - 1}{3}

3 l e f t (1, 2, 3) - 2 l e f t (- 6, - 4, 3)

(- e^{x} x^{2} + 2 e^{x} x - 2 e^{x}) \cdot x

(x + 1) lo g_{10} (x + 1) - x lo g_{10} (x)

- 2 (cos^{2} (4 a) - sin^{2} (x)) sin (a)

\frac{1 - cos ^{2} ( x )}{cos ( x )}

What is ((2x+2+sqrt(6))(2x+2-sqrt(6)))/6 ?
The solution to ((2x+2+sqrt(6))(2x+2-sqrt(6)))/6 is (2x^2+4x-1)/3