# Combine a/(8a-3b)-b/(3b-8a) a8a-3b-b3b-8a
Factor -1 out of 3b.
a8a-3b-b-(-3b)-8a
Factor -1 out of -8a.
a8a-3b-b-(-3b)-(8a)
Factor -1 out of -(-3b)-(8a).
a8a-3b-b-(-3b+8a)
Reorder terms.
a8a-3b-b-(8a-3b)
To write a8a-3b as a fraction with a common denominator, multiply by -1-1.
a8a-3b⋅-1-1-b-(8a-3b)
Write each expression with a common denominator of (8a-3b)⋅-1, by multiplying each by an appropriate factor of 1.
Multiply a8a-3b and -1-1.
a⋅-1(8a-3b)⋅-1-b-(8a-3b)
Reorder the factors of (8a-3b)⋅-1.
a⋅-1-(8a-3b)-b-(8a-3b)
a⋅-1-(8a-3b)-b-(8a-3b)
Combine the numerators over the common denominator.
a⋅-1-b-(8a-3b)
Simplify the numerator.
Move -1 to the left of a.
-1⋅a-b-(8a-3b)
Rewrite -1a as -a.
-a-b-(8a-3b)
-a-b-(8a-3b)
Simplify with factoring out.
Move the negative in front of the fraction.
–a-b8a-3b
Factor -1 out of -a.
–(a)-b8a-3b
Factor -1 out of -b.
–(a)-(b)8a-3b
Factor -1 out of -(a)-(b).
–(a+b)8a-3b
Simplify the expression.
Rewrite -(a+b) as -1(a+b).
–1(a+b)8a-3b
Move the negative in front of the fraction.
–a+b8a-3b
Multiply -1 by -1.
1a+b8a-3b
Multiply a+b8a-3b by 1.
a+b8a-3b
a+b8a-3b
a+b8a-3b
Combine a/(8a-3b)-b/(3b-8a)

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