What is (r+2)/(r+4)-3/(r+1) ?

The solution to (r+2)/(r+4)-3/(r+1) is (r^2-10)/((r+4)(r+1))

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simplify (r+2)/(r+4)-3/(r+1)

simplify

\frac{r + 2}{r + 4} - \frac{3}{r + 1}

\frac{r ^{2} - 10}{( r + 4 ) ( r + 1 )}

Solution steps

\frac{r + 2}{r + 4} - \frac{3}{r + 1}

Least Common Multiplier of

r + 4, r + 1 : (r + 4) (r + 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

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

Simplify

(r + 2) (r + 1) - 3 (r + 4) : r^{2} - 10

= \frac{r ^{2} - 10}{( r + 4 ) ( r + 1 )}

3 (1 + k) + 10 (5 k + 6)

\frac{96}{7}

(4 x - 3) + (2 x - 4)

(x^{2} + \frac{2}{x})^{12}

+ n^{4} - 9 n^{2} + 4 n^{3} - 36 n - 12 n^{2} + 108

What is (r+2)/(r+4)-3/(r+1) ?
The solution to (r+2)/(r+4)-3/(r+1) is (r^2-10)/((r+4)(r+1))