What is (6x+2)/(x^3-sqrt(2x-7)) ?

The solution to (6x+2)/(x^3-sqrt(2x-7)) is ((6x+2)(x^3+sqrt(2x-7)))/(x^6-2x+7)

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simplify (6x+2)/(x^3-sqrt(2x-7))

simplify

\frac{6 x + 2}{x ^{3} - 2 x - 7}

\frac{( 6 x + 2 ) ( x ^{3} + 2 x - 7 )}{x ^{6} - 2 x + 7}

Solution steps

\frac{6 x + 2}{x ^{3} - 2 x - 7}

Multiply by the conjugate

\frac{x ^{3} + 2 x - 7}{x ^{3} + 2 x - 7}

= \frac{( 6 x + 2 ) ( x ^{3} + 2 x - 7 )}{( x ^{3} - 2 x - 7 ) ( x ^{3} + 2 x - 7 )}

(x^{3} - 2 x - 7) (x^{3} + 2 x - 7) = x^{6} - 2 x + 7

= \frac{( 6 x + 2 ) ( x ^{3} + 2 x - 7 )}{x ^{6} - 2 x + 7}

2 \frac{1}{5}

(- 4 x^{2} + 3 x + 3) - (4 x^{2} + 9)

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

- (x + 1)^{2}

(x - 3) 2

What is (6x+2)/(x^3-sqrt(2x-7)) ?
The solution to (6x+2)/(x^3-sqrt(2x-7)) is ((6x+2)(x^3+sqrt(2x-7)))/(x^6-2x+7)