What is (5x+13)/(15)-(4x+5)/(5x-15) ?

The solution to (5x+13)/(15)-(4x+5)/(5x-15) is (5x^2-14x-54)/(15(x-3))

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simplify (5x+13)/(15)-(4x+5)/(5x-15)

simplify

\frac{5 x + 13}{15} - \frac{4 x + 5}{5 x - 15}

\frac{5 x ^{2} - 14 x - 54}{15 ( x - 3 )}

Solution steps

\frac{5 x + 13}{15} - \frac{4 x + 5}{5 x - 15}

Least Common Multiplier of

15, 5 x - 15 : 15 (x - 3)

Adjust Fractions based on the LCM

= \frac{( 5 x + 13 ) ( x - 3 )}{15 ( x - 3 )} - \frac{( 4 x + 5 ) \cdot 3}{15 ( x - 3 )}

Apply the fraction rule:

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

= \frac{( 5 x + 13 ) ( x - 3 ) - ( 4 x + 5 ) \cdot 3}{15 ( x - 3 )}

Simplify

(5 x + 13) (x - 3) - (4 x + 5) \cdot 3 : 5 x^{2} - 14 x - 54

= \frac{5 x ^{2} - 14 x - 54}{15 ( x - 3 )}

x^{2} + 19 x + 34

\frac{1}{2 - 5}

t^{2} + 7 t - 18

\frac{tan ( θ )}{sec ( θ )}

18 - (- 6)

What is (5x+13)/(15)-(4x+5)/(5x-15) ?
The solution to (5x+13)/(15)-(4x+5)/(5x-15) is (5x^2-14x-54)/(15(x-3))