What is (2x+4)/(x+4)-(2x-14)/(x-5) ?

The solution to (2x+4)/(x+4)-(2x-14)/(x-5) is (36)/((x+4)(x-5))

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simplify (2x+4)/(x+4)-(2x-14)/(x-5)

simplify

\frac{2 x + 4}{x + 4} - \frac{2 x - 14}{x - 5}

\frac{36}{( x + 4 ) ( x - 5 )}

Solution steps

\frac{2 x + 4}{x + 4} - \frac{2 x - 14}{x - 5}

Least Common Multiplier of

x + 4, x - 5 : (x + 4) (x - 5)

Adjust Fractions based on the LCM

= \frac{( 2 x + 4 ) ( x - 5 )}{( x + 4 ) ( x - 5 )} - \frac{( 2 x - 14 ) ( x + 4 )}{( x + 4 ) ( x - 5 )}

Apply the fraction rule:

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

= \frac{( 2 x + 4 ) ( x - 5 ) - ( 2 x - 14 ) ( x + 4 )}{( x + 4 ) ( x - 5 )}

Simplify

(2 x + 4) (x - 5) - (2 x - 14) (x + 4) : 36

= \frac{36}{( x + 4 ) ( x - 5 )}

(x + 3) (x - 2) (x - 1)

\frac{x ^{2} - 4 x + 3}{x ^{2} + 3 x - 4}

(r + 6)^{2} + (14 r - 11 + r^{2})

\frac{4}{5} \cdot 100

(4 x + 3)^{2}

What is (2x+4)/(x+4)-(2x-14)/(x-5) ?
The solution to (2x+4)/(x+4)-(2x-14)/(x-5) is (36)/((x+4)(x-5))