What is (b-6)/(4-b^2)+2/(2b-b^2) ?

The solution to (b-6)/(4-b^2)+2/(2b-b^2) is -(b-2)/(b(b+2))

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simplify (b-6)/(4-b^2)+2/(2b-b^2)

simplify

\frac{b - 6}{4 - b ^{2}} + \frac{2}{2 b - b ^{2}}

- \frac{b - 2}{b ( b + 2 )}

Solution steps

\frac{b - 6}{4 - b ^{2}} + \frac{2}{2 b - b ^{2}}

Least Common Multiplier of

4 - b^{2}, 2 b - b^{2} : b (b + 2) (b - 2)

Adjust Fractions based on the LCM

= \frac{- b ( b - 6 )}{b ( b + 2 ) ( b - 2 )} + \frac{2 ( - b - 2 )}{b ( b + 2 ) ( b - 2 )}

Apply the fraction rule:

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

= \frac{- b ( b - 6 ) + 2 ( - b - 2 )}{b ( b + 2 ) ( b - 2 )}

Simplify

- b (b - 6) + 2 (- b - 2) : - b^{2} + 4 b - 4

= \frac{- b ^{2} + 4 b - 4}{b ( b + 2 ) ( b - 2 )}

Cancel

\frac{- b ^{2} + 4 b - 4}{b ( b + 2 ) ( b - 2 )} : - \frac{b - 2}{b ( b + 2 )}

= - \frac{b - 2}{b ( b + 2 )}

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

(x + y + 1)^{3}

- 5 (c - 3) (c - 4)

543 + (\frac{22.5 - 19}{4}) \cdot 29

\frac{\frac{10 p}{5}}{\frac{8}{10}}

What is (b-6)/(4-b^2)+2/(2b-b^2) ?
The solution to (b-6)/(4-b^2)+2/(2b-b^2) is -(b-2)/(b(b+2))