What is 6-(x+5)/((7x-5)(x+4)) ?

The solution to 6-(x+5)/((7x-5)(x+4)) is (42x^2+137x-125)/((7x-5)(x+4))

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simplify 6-(x+5)/((7x-5)(x+4))

simplify

6 - \frac{x + 5}{( 7 x - 5 ) ( x + 4 )}

\frac{42 x ^{2} + 137 x - 125}{( 7 x - 5 ) ( x + 4 )}

Solution steps

6 - \frac{x + 5}{( 7 x - 5 ) ( x + 4 )}

Apply the fraction rule:

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

= \frac{6 ( 7 x - 5 ) ( x + 4 ) - ( x + 5 )}{( 7 x - 5 ) ( x + 4 )}

Simplify

6 (7 x - 5) (x + 4) - (x + 5) : 42 x^{2} + 137 x - 125

= \frac{42 x ^{2} + 137 x - 125}{( 7 x - 5 ) ( x + 4 )}

3 x^{2} + 9 x - 12

- 3 (3)

\frac{x ^{2} - 2 x - 8}{x ^{2} + 10 x + 21} \cdot \frac{x + 3}{x - 4}

- 4 x - 2

\frac{x + 5}{x ^{2} - 25}

What is 6-(x+5)/((7x-5)(x+4)) ?
The solution to 6-(x+5)/((7x-5)(x+4)) is (42x^2+137x-125)/((7x-5)(x+4))