What is (1-(207)/n)(1-(207)/(n-414)) ?

The solution to (1-(207)/n)(1-(207)/(n-414)) is ((n-207)(n-621))/((n-414)n)

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simplify (1-(207)/n)(1-(207)/(n-414))

simplify

(1 - \frac{207}{n}) (1 - \frac{207}{n - 414})

\frac{( n - 207 ) ( n - 621 )}{( n - 414 ) n}

Solution steps

(1 - \frac{207}{n}) (1 - \frac{207}{n - 414})

Join

1 - \frac{207}{n} : \frac{n - 207}{n}

= \frac{n - 207}{n} (1 - \frac{207}{n - 414})

Apply the fraction rule:

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

= \frac{( n - 207 ) ( 1 - \frac{207}{n - 414} )}{n}

Simplify

(n - 207) (1 - \frac{207}{n - 414}) : \frac{( n - 207 ) ( n - 621 )}{n - 414}

= \frac{\frac{( n - 207 ) ( n - 621 )}{n - 414}}{n}

Apply the fraction rule:

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

= \frac{( n - 207 ) ( n - 621 )}{( n - 414 ) n}

(x - c) (x + c)

\frac{X - 3}{( X + 2 ) ( X + 1 ) ^{2}}

75

\frac{( P s ^{2} + P s + I ) \cdot 4865}{s ( s ^{2} + 497.8 s + 5951 )}

\frac{( a ^{n + 3} )}{a ^{n - 5}}

What is (1-(207)/n)(1-(207)/(n-414)) ?
The solution to (1-(207)/n)(1-(207)/(n-414)) is ((n-207)(n-621))/((n-414)n)