SOLUTION: simplify the following expression
(b^2+5b+6/3bc) / (b^2-9/6bc)
A) b+2/2(b-3)
B)b+2/b-3
C)2(b+2)/b-3
D)-1
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Rational-functions
-> SOLUTION: simplify the following expression
(b^2+5b+6/3bc) / (b^2-9/6bc)
A) b+2/2(b-3)
B)b+2/b-3
C)2(b+2)/b-3
D)-1
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Question 145575: simplify the following expression
(b^2+5b+6/3bc) / (b^2-9/6bc)
A) b+2/2(b-3)
B)b+2/b-3
C)2(b+2)/b-3
D)-1 Answer by al_prac(2) (Show Source):
You can put this solution on YOUR website! The numerator:
(b^2 +5b +6)/ 3 bc = (b^2 + 3b + 2b + 6)/3bc
= (b+2)(b+3)/3bc
The denominator:
(b^2 -9) / 6bc = (b-3)(b+3) / 6bc
so, the expression is:
(((b+2)(b+3)/3bc)/((b+3)(b-3)/6bc)) = (b+2)/2(b-3).
So the answer is A.
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