What is (x-9/x)(1-3/(x+3)) ?

The solution to (x-9/x)(1-3/(x+3)) is x-3

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simplify (x-9/x)(1-3/(x+3))

simplify

(x - \frac{9}{x}) (1 - \frac{3}{x + 3})

x - 3

Solution steps

(x - \frac{9}{x}) (1 - \frac{3}{x + 3})

Join

x - \frac{9}{x} : \frac{x ^{2} - 9}{x}

= \frac{x ^{2} - 9}{x} (1 - \frac{3}{x + 3})

Apply the fraction rule:

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

= \frac{( x ^{2} - 9 ) ( 1 - \frac{3}{x + 3} )}{x}

Simplify

(x^{2} - 9) (1 - \frac{3}{x + 3}) : (x - 3) x

= \frac{( x - 3 ) x}{x}

Cancel the common factor:

x

= x - 3

(1 + 2 cos (2 x))^{2}

\frac{π ( e ^{- s} + 1 )}{( s ^{2} + π ^{2} ) ( s ^{2} + 1 )}

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

1 - 2 x (1 - 2 x)

(cos (θ) + sin (θ) i)^{3}