What is (6r^2+12r+6)/(4r^2+8r+4)-(r-1)/(r+1) ?

The solution to (6r^2+12r+6)/(4r^2+8r+4)-(r-1)/(r+1) is (r+5)/(2(r+1))

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simplify (6r^2+12r+6)/(4r^2+8r+4)-(r-1)/(r+1)

simplify

\frac{6 r ^{2} + 12 r + 6}{4 r ^{2} + 8 r + 4} - \frac{r - 1}{r + 1}

\frac{r + 5}{2 ( r + 1 )}

Solution steps

\frac{6 r ^{2} + 12 r + 6}{4 r ^{2} + 8 r + 4} - \frac{r - 1}{r + 1}

Cancel

\frac{6 r ^{2} + 12 r + 6}{4 r ^{2} + 8 r + 4} : \frac{3}{2}

= \frac{3}{2} - \frac{r - 1}{r + 1}

Simplify

\frac{3}{2} - \frac{r - 1}{r + 1} : \frac{3 ( r + 1 ) - ( r - 1 ) \cdot 2}{2 ( r + 1 )}

= \frac{3 ( r + 1 ) - ( r - 1 ) \cdot 2}{2 ( r + 1 )}

Simplify

3 (r + 1) - (r - 1) \cdot 2 : r + 5

= \frac{r + 5}{2 ( r + 1 )}

(7 + 22) (7 - 22)

\frac{2 x ^{3} + 7 x ^{2} + 10 x + 8}{x + 2}

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

x^{9} + x^{6} + x^{3}

What is (6r^2+12r+6)/(4r^2+8r+4)-(r-1)/(r+1) ?
The solution to (6r^2+12r+6)/(4r^2+8r+4)-(r-1)/(r+1) is (r+5)/(2(r+1))