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

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

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

simplify

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

- \frac{2 b}{a - b}

Solution steps

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

Apply the fraction rule:

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

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

Apply rule:

(a) = a

(a - b) = a - b

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

Simplify

a - b - (a + b) : - 2 b

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

Apply the fraction rule:

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

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

x^{4} + 7 x^{3} - 5 x^{2} - 75 x

+ x (x - y) + y (y - x)

77

\frac{x}{x - 3} - \frac{3}{x}

- 7 \times (- 3)