What is join a/((8a-3b))-b/((3b-8a)) ?

The solution to join a/((8a-3b))-b/((3b-8a)) is (a+b)/(8a-3b)

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Combine a/(8a-3b)-b/(3b-8a)

join

\frac{a}{( 8 a - 3 b )} - \frac{b}{( 3 b - 8 a )}

\frac{a + b}{8 a - 3 b}

Solution steps

\frac{a}{8 a - 3 b} - \frac{b}{3 b - 8 a}

Least Common Multiplier of

8 a - 3 b, 3 b - 8 a : - (8 a - 3 b)

Adjust Fractions based on the LCM

= \frac{- a}{- ( 8 a - 3 b )} - \frac{b}{- ( 8 a - 3 b )}

Apply the fraction rule:

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

= \frac{- a - b}{- ( 8 a - 3 b )}

Cancel

\frac{- a - b}{- ( 8 a - 3 b )} : \frac{a + b}{8 a - 3 b}

= \frac{a + b}{8 a - 3 b}

x, 1 0^{x} = 5

56

x, 4 9^{x} = 7

\frac{8}{12}

x^{2} - 10 x = 7

What is join a/((8a-3b))-b/((3b-8a)) ?
The solution to join a/((8a-3b))-b/((3b-8a)) is (a+b)/(8a-3b)