What is (xy-yw+xz-zw)/(xy+yw+xz+zw) ?

The solution to (xy-yw+xz-zw)/(xy+yw+xz+zw) is (x-w)/(x+w)

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simplify (xy-yw+xz-zw)/(xy+yw+xz+zw)

simplify

\frac{x y - y w + x z - z w}{x y + y w + x z + z w}

\frac{x - w}{x + w}

Solution steps

\frac{x y - y w + x z - z w}{x y + y w + x z + z w}

Factor

x y - y w + x z - z w : (y + z) (x - w)

= \frac{( y + z ) ( x - w )}{x y + y w + x z + z w}

Factor

x y + y w + x z + z w : (y + z) (x + w)

= \frac{( y + z ) ( x - w )}{( y + z ) ( x + w )}

Cancel the common factor:

y + z

= \frac{x - w}{x + w}

(6 x - 4 y)^{2}

\frac{7}{8 + 7}

(m - 4) (m^{2} + 4 m - 5)

\frac{5 3}{5}

x^{8} \cdot x^{5}

What is (xy-yw+xz-zw)/(xy+yw+xz+zw) ?
The solution to (xy-yw+xz-zw)/(xy+yw+xz+zw) is (x-w)/(x+w)