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

The solution to 5-(x+5)/((3x-5)(x+4)) is (15x^2+34x-105)/((3x-5)(x+4))

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

simplify

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

\frac{15 x ^{2} + 34 x - 105}{( 3 x - 5 ) ( x + 4 )}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

5 (3 x - 5) (x + 4) - (x + 5) : 15 x^{2} + 34 x - 105

= \frac{15 x ^{2} + 34 x - 105}{( 3 x - 5 ) ( x + 4 )}

\frac{1}{13 - 11}

- \frac{5}{6} + \frac{1}{3}

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

- 11 - (- 4)

1575 - 827

What is 5-(x+5)/((3x-5)(x+4)) ?
The solution to 5-(x+5)/((3x-5)(x+4)) is (15x^2+34x-105)/((3x-5)(x+4))