What is 3/((x-5))-4/((x+5)) ?

The solution to 3/((x-5))-4/((x+5)) is (-x+35)/((x-5)(x+5))

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simplify 3/((x-5))-4/((x+5))

simplify

\frac{3}{( x - 5 )} - \frac{4}{( x + 5 )}

\frac{- x + 35}{( x - 5 ) ( x + 5 )}

Solution steps

\frac{3}{x - 5} - \frac{4}{x + 5}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x + 5) - 4 (x - 5) : - x + 35

= \frac{- x + 35}{( x - 5 ) ( x + 5 )}

\frac{( 8 x ^{3} + y ^{3} )}{( 2 x + y )}

\frac{( a ^{- \frac{4}{7}} b ^{- 3} )}{( a ^{- \frac{4}{3}} b ^{\frac{4}{3}} )}

3 x \cdot (y - z) + (z - y) \cdot (x + 2 y)

3 \cdot a \cdot \frac{b}{( 2 \cdot a + b )}

a^{3} + 2 a^{4} - (a^{5})^{2}

What is 3/((x-5))-4/((x+5)) ?
The solution to 3/((x-5))-4/((x+5)) is (-x+35)/((x-5)(x+5))