1 - \frac{v(u-w)}{w(u-v)}

asked by guest
on Sep 22, 2024 at 4:32 am



You asked:

Evaluate the expression: \(1 - \frac{v \cdot \left(u - w\right)}{w \cdot \left(u - v\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle 1 - \frac{v \cdot \left(u - w\right)}{w \cdot \left(u - v\right)} = - \frac{v \left(u - w\right)}{w \left(u - v\right)} + 1 \)

Expanded

\[1 - \frac{v \cdot \left(u - w\right)}{w \cdot \left(u - v\right)} = - \frac{u v}{u w - v w} + \frac{v w}{u w - v w} + 1\]

Factored

\[1 - \frac{v \cdot \left(u - w\right)}{w \cdot \left(u - v\right)} = - \frac{u \left(v - w\right)}{w \left(u - v\right)}\]

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