What is (1-1/((x+3)))(1-1/(x+2))(1-1/(x+1)) ?

The solution to (1-1/((x+3)))(1-1/(x+2))(1-1/(x+1)) is x/(x+3)

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simplify (1-1/((x+3)))(1-1/(x+2))(1-1/(x+1))

simplify

(1 - \frac{1}{( x + 3 )}) (1 - \frac{1}{x + 2}) (1 - \frac{1}{x + 1})

\frac{x}{x + 3}

Solution steps

(1 - \frac{1}{x + 3}) (1 - \frac{1}{x + 2}) (1 - \frac{1}{x + 1})

Join

1 - \frac{1}{x + 3} : \frac{x + 2}{x + 3}

= \frac{x + 2}{x + 3} (1 - \frac{1}{x + 2}) (1 - \frac{1}{x + 1})

Apply the fraction rule:

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

= \frac{( x + 2 ) ( 1 - \frac{1}{x + 2} ) ( 1 - \frac{1}{x + 1} )}{x + 3}

Simplify

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

= \frac{x}{x + 3}

(\frac{3173}{126})^{2} \cdot (\frac{1}{( 47 ) ^{2}} + \frac{1}{( 79 ) ^{2}} \cdot 1.9)

\frac{4 ( x + 6 ) ^{5}}{x ^{3}}

5 (8 + 36)

\frac{2 s ^{2} + 2}{s ^{2} ( s ^{2} + 5 )}

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

What is (1-1/((x+3)))(1-1/(x+2))(1-1/(x+1)) ?
The solution to (1-1/((x+3)))(1-1/(x+2))(1-1/(x+1)) is x/(x+3)