What is 5/(x-7)-7/(x^2-x-42) ?

The solution to 5/(x-7)-7/(x^2-x-42) is (5x+23)/((x-7)(x+6))

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simplify 5/(x-7)-7/(x^2-x-42)

simplify

\frac{5}{x - 7} - \frac{7}{x ^{2} - x - 42}

\frac{5 x + 23}{( x - 7 ) ( x + 6 )}

Solution steps

\frac{5}{x - 7} - \frac{7}{x ^{2} - x - 42}

Least Common Multiplier of

x - 7, x^{2} - x - 42 : (x - 7) (x + 6)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

5 (x + 6) - 7 : 5 x + 23

= \frac{5 x + 23}{( x - 7 ) ( x + 6 )}

lo g_{4} ((\frac{1024}{x y ^{2}})^{2})

x \frac{1}{2}

(46)^{2}

- 2 \cdot - 2

\frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3}

What is 5/(x-7)-7/(x^2-x-42) ?
The solution to 5/(x-7)-7/(x^2-x-42) is (5x+23)/((x-7)(x+6))