What is y/(x^2-1)*(x-1)/(2y) ?

The solution to y/(x^2-1)*(x-1)/(2y) is 1/(2(x+1))

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simplify y/(x^2-1)*(x-1)/(2y)

simplify

\frac{y}{x ^{2} - 1} \cdot \frac{x - 1}{2 y}

\frac{1}{2 ( x + 1 )}

Solution steps

\frac{y}{x ^{2} - 1} \cdot \frac{x - 1}{2 y}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Cancel the common factor:

y

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

Factor

x^{2} - 1 : (x + 1) (x - 1)

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

Cancel the common factor:

x - 1

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

= \frac{1}{2 ( x + 1 )}

\frac{( a ^{2} + b ) ^{\frac{3}{2}}}{a ^{2} + b}

160

8 2^{2}

2 n^{2} - 7 n + 3

\frac{1}{6} \cdot \frac{1}{6}

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