What is (x-1/a)(x-1/b)(x-1/c) ?

The solution to (x-1/a)(x-1/b)(x-1/c) is ((xa-1)(xb-1)(xc-1))/(bca)

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simplify (x-1/a)(x-1/b)(x-1/c)

simplify

(x - \frac{1}{a}) (x - \frac{1}{b}) (x - \frac{1}{c})

\frac{( x a - 1 ) ( x b - 1 ) ( x c - 1 )}{b c a}

Solution steps

(x - \frac{1}{a}) (x - \frac{1}{b}) (x - \frac{1}{c})

Join

x - \frac{1}{a} : \frac{x a - 1}{a}

= \frac{x a - 1}{a} (x - \frac{1}{b}) (x - \frac{1}{c})

Apply the fraction rule:

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

= \frac{( x a - 1 ) ( x - \frac{1}{b} ) ( x - \frac{1}{c} )}{a}

Simplify

(x a - 1) (x - \frac{1}{b}) (x - \frac{1}{c}) : \frac{( x a - 1 ) ( x b - 1 ) ( x c - 1 )}{b c}

= \frac{\frac{( x a - 1 ) ( x b - 1 ) ( x c - 1 )}{b c}}{a}

Apply the fraction rule:

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

= \frac{( x a - 1 ) ( x b - 1 ) ( x c - 1 )}{b c a}

\frac{( x ^{2} - 2 x + 3 ) ( 2 x + 3 )}{( x - 2 ) ( x + 5 )}

so l v e (30 - 2 h) (30 - h) (h)

(3 x) l e f t (- 118.33 x - 10 x^{2})

\frac{x ^{2} + 4}{( x ^{2} - 4 ) ^{2}}

(1 + \frac{1}{2} x)^{4}

What is (x-1/a)(x-1/b)(x-1/c) ?
The solution to (x-1/a)(x-1/b)(x-1/c) is ((xa-1)(xb-1)(xc-1))/(bca)