Question 388971: u-v/8v + 6u-3v/8v
Answer by haileytucki(390)   (Show Source):
You can put this solution on YOUR website! (u-v)/(8v)+(6u-3v)/(8v)
Factor out the GCF of 3 from each term in the polynomial.
(u-v)/(8v)+(3(2u)+3(-v))/(8v)
Factor out the GCF of 3 from 6u-3v.
(u-v)/(8v)+(3(2u-v))/(8v)
The numerators of expressions that have equal denominators can be combined. In this case, ((u-v))/(8v) and (3(2u-v))/(8v) have the same denominator of 8v, so the numerators can be combined.
((u-v)+3(2u-v))/(8v)
Simplify the numerator of the expression.
(u-v+6u-3v)/(8v)
Combine all similar terms in the polynomial u-v+6u-3v.
(7u-4v)/(8v)
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