What is (2x+1)/(12x+8)-(x^2)/(6x^2+x-2)+(2x)/(16x-8) ?

The solution to (2x+1)/(12x+8)-(x^2)/(6x^2+x-2)+(2x)/(16x-8) is (3x^2+2x-1)/(4(3x+2)(2x-1))

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simplify (2x+1)/(12x+8)-(x^2)/(6x^2+x-2)+(2x)/(16x-8)

simplify

\frac{2 x + 1}{12 x + 8} - \frac{x ^{2}}{6 x ^{2} + x - 2} + \frac{2 x}{16 x - 8}

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

Solution steps

\frac{2 x + 1}{12 x + 8} - \frac{x ^{2}}{6 x ^{2} + x - 2} + \frac{2 x}{16 x - 8}

Cancel

\frac{2 x}{16 x - 8} : \frac{x}{4 ( 2 x - 1 )}

= \frac{2 x + 1}{12 x + 8} - \frac{x ^{2}}{6 x ^{2} + x - 2} + \frac{x}{4 ( 2 x - 1 )}

Simplify

\frac{2 x + 1}{12 x + 8} - \frac{x ^{2}}{6 x ^{2} + x - 2} + \frac{x}{4 ( 2 x - 1 )} : \frac{( 2 x + 1 ) ( 2 x - 1 ) - x ^{2} \cdot 4 + x ( 3 x + 2 )}{4 ( 3 x + 2 ) ( 2 x - 1 )}

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

Simplify

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

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

(2) (2)

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

- 18 x - 21 x^{2}

14 + 7

What is (2x+1)/(12x+8)-(x^2)/(6x^2+x-2)+(2x)/(16x-8) ?
The solution to (2x+1)/(12x+8)-(x^2)/(6x^2+x-2)+(2x)/(16x-8) is (3x^2+2x-1)/(4(3x+2)(2x-1))