What is (a-x)/(ax(x-a)) ?

The solution to (a-x)/(ax(x-a)) is -1/(ax)

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simplify (a-x)/(ax(x-a))

simplify

\frac{a - x}{a x ( x - a )}

- \frac{1}{a x}

Solution steps

\frac{a - x}{a x ( x - a )}

a - x = - (x - a)

= \frac{- ( x - a )}{a x ( x - a )}

Cancel the common factor:

x - a

= \frac{- 1}{a x}

Apply the fraction rule:

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

= - \frac{1}{a x}

1 - 4 a - 5

(d + 5)^{2}

(5 - 1) (5 + 1)

- \frac{1}{6} \cdot (- 6)

4 (- 6 z + 4)