What is (4-3/(x+2))(1+5/(x-1)) ?

The solution to (4-3/(x+2))(1+5/(x-1)) is ((4x+5)(x+4))/((x-1)(x+2))

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simplify (4-3/(x+2))(1+5/(x-1))

simplify

(4 - \frac{3}{x + 2}) (1 + \frac{5}{x - 1})

\frac{( 4 x + 5 ) ( x + 4 )}{( x - 1 ) ( x + 2 )}

Solution steps

(4 - \frac{3}{x + 2}) (1 + \frac{5}{x - 1})

Join

4 - \frac{3}{x + 2} : \frac{4 x + 5}{x + 2}

= \frac{4 x + 5}{x + 2} (1 + \frac{5}{x - 1})

Apply the fraction rule:

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

= \frac{( 4 x + 5 ) ( 1 + \frac{5}{x - 1} )}{x + 2}

Simplify

(4 x + 5) (1 + \frac{5}{x - 1}) : \frac{( 4 x + 5 ) ( x + 4 )}{x - 1}

= \frac{\frac{( 4 x + 5 ) ( x + 4 )}{x - 1}}{x + 2}

Apply the fraction rule:

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

= \frac{( 4 x + 5 ) ( x + 4 )}{( x - 1 ) ( x + 2 )}

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

cos ((n + 1) π)

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(- 5, 4) y (3, - 1)

What is (4-3/(x+2))(1+5/(x-1)) ?
The solution to (4-3/(x+2))(1+5/(x-1)) is ((4x+5)(x+4))/((x-1)(x+2))