What is 1-(a+x)/(a-x) ?

The solution to 1-(a+x)/(a-x) is -(2x)/(a-x)

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simplify 1-(a+x)/(a-x)

simplify

1 - \frac{a + x}{a - x}

- \frac{2 x}{a - x}

Solution steps

1 - \frac{a + x}{a - x}

Apply the fraction rule:

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

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

Apply rule:

(a) = a

(a - x) = a - x

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

Simplify

a - x - (a + x) : - 2 x

= \frac{- 2 x}{a - x}

Apply the fraction rule:

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

= - \frac{2 x}{a - x}

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