What is 7/x-(5x+7)/(x-9) ?

The solution to 7/x-(5x+7)/(x-9) is (-5x^2-63)/(x(x-9))

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simplify 7/x-(5x+7)/(x-9)

simplify

\frac{7}{x} - \frac{5 x + 7}{x - 9}

\frac{- 5 x ^{2} - 63}{x ( x - 9 )}

Solution steps

\frac{7}{x} - \frac{5 x + 7}{x - 9}

Least Common Multiplier of

x, x - 9 : x (x - 9)

Adjust Fractions based on the LCM

= \frac{7 ( x - 9 )}{x ( x - 9 )} - \frac{( 5 x + 7 ) x}{x ( x - 9 )}

Apply the fraction rule:

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

= \frac{7 ( x - 9 ) - ( 5 x + 7 ) x}{x ( x - 9 )}

Simplify

7 (x - 9) - (5 x + 7) x : - 5 x^{2} - 63

= \frac{- 5 x ^{2} - 63}{x ( x - 9 )}

(a) (- 3 a) (a^{2})

48 \div 6

lo g_{10} (1 0^{- 4})

lo g_{m} (m^{2 n})

1.2

What is 7/x-(5x+7)/(x-9) ?
The solution to 7/x-(5x+7)/(x-9) is (-5x^2-63)/(x(x-9))