What is (ay-ax+by-bx)/(2ay-by-2ax+bx) ?

The solution to (ay-ax+by-bx)/(2ay-by-2ax+bx) is (a+b)/(2a-b)

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simplify (ay-ax+by-bx)/(2ay-by-2ax+bx)

simplify

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

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

Solution steps

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

Factor

a y - a x + b y - b x : (y - x) (a + b)

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

Factor

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

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

Cancel the common factor:

y - x

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

(4 t)^{2}

x^{4} - 6 x^{2} + 9

- (\frac{1}{2})^{4}

(\frac{2 i ^{5} + 3 i ^{17}}{1 + i})^{2}

lo g_{x} (\frac{( x + 4 ) ^{2}}{2 x + 5}) < 0

What is (ay-ax+by-bx)/(2ay-by-2ax+bx) ?
The solution to (ay-ax+by-bx)/(2ay-by-2ax+bx) is (a+b)/(2a-b)