Question 201948
{{{(3a)/(2a+6)-(a-1)/(a+3)}}} Start with the given expression.



{{{(3a)/(2(a+3))-(a-1)/(a+3)}}} Factor the first denominator



{{{(3a)/(2(a+3))-(2(a-1))/(2(a+3))}}} Multiply the second fraction by {{{2/2}}}



{{{(3a-2(a-1))/(2(a+3))}}} Combine the fractions (by subtracting the numerators over the same denominator)



{{{(3a-2a+2)/(2a+6)}}} Distribute



{{{(a+2)/(2a+6)}}} Combine like terms.



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Answer:



So {{{(3a)/(2a+6)-(a-1)/(a+3)=(a+2)/(2a+6)}}}