What is 4/(a-2)-5/a ?

The solution to 4/(a-2)-5/a is (-a+10)/(a(a-2))

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simplify 4/(a-2)-5/a

simplify

\frac{4}{a - 2} - \frac{5}{a}

\frac{- a + 10}{a ( a - 2 )}

Solution steps

\frac{4}{a - 2} - \frac{5}{a}

Least Common Multiplier of

a - 2, a : a (a - 2)

Adjust Fractions based on the LCM

= \frac{4 a}{a ( a - 2 )} - \frac{5 ( a - 2 )}{a ( a - 2 )}

Apply the fraction rule:

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

= \frac{4 a - 5 ( a - 2 )}{a ( a - 2 )}

Simplify

4 a - 5 (a - 2) : - a + 10

= \frac{- a + 10}{a ( a - 2 )}

lo g_{125} (5)

p - q + \frac{1}{p + q}

2 x^{2} - 16 x

- 3 x^{2} + 11 x - 6

2 x - 4 \leq 6 - 7 x \leq 3 x + 6