SOLUTION: Addition and subtraction of rational expressions with different denominators: Subtract the expression with unlike denominators as indicated (3a-7)/(6a+10) - 10/(3a^2+5a)

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Question 1054621: Addition and subtraction of rational expressions with different denominators:
Subtract the expression with unlike denominators as indicated
(3a-7)/(6a+10) - 10/(3a^2+5a)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(3a-7)/(6a+10) - 10/(3a^2+5a) =
:
(3a-7)/(2(3a+5)) - 10/(a(3a+5)) =
:
common denominator is 2a(3a+5)
:
a(3a-7) - 2(10) / (2a(3a+5)) =
:
3a^2 -7a -20 / (2a(3a+5)) =
:
(3a+5)(a-4) / (2a(3a+5)) =
:
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(a-4) / 2a
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: