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Popular >

simplify (2x+y)/(x-y)-1

Solution

simplify

\frac{2 x + y}{x - y} - 1

Solution

\frac{x + 2 y}{x - y}

Solution steps

\frac{2 x + y}{x - y} - 1

Apply the fraction rule:

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

= \frac{- 1 \cdot ( x - y ) + 2 x + y}{x - y}

Apply rule:

1 \cdot a = a

- 1 \cdot (x - y) = - (x - y)

= \frac{- ( x - y ) + 2 x + y}{x - y}

Simplify

- (x - y) + 2 x + y : x + 2 y

= \frac{x + 2 y}{x - y}

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Frequently Asked Questions (FAQ)

What is (2x+y)/(x-y)-1 ?
The solution to (2x+y)/(x-y)-1 is (x+2y)/(x-y)