What is b/(b+3)-4/b ?

The solution to b/(b+3)-4/b is (b^2-4b-12)/(b(b+3))

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simplify b/(b+3)-4/b

simplify

\frac{b}{b + 3} - \frac{4}{b}

\frac{b ^{2} - 4 b - 12}{b ( b + 3 )}

Solution steps

\frac{b}{b + 3} - \frac{4}{b}

Least Common Multiplier of

b + 3, b : b (b + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

b^{2} - 4 (b + 3) : b^{2} - 4 b - 12

= \frac{b ^{2} - 4 b - 12}{b ( b + 3 )}

4 (g - 1) = 24

lo g_{5} (8)

\frac{x - 10}{9} = 1

- 6 (3 n - 1) = - 120

3 (3 x - 1) + 2 (3 - x) = 0