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Simplify the expression.

Simplify the expression.-example-1
User Tiasha
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2 votes

Answer:

Simplify the expression:
((b^2+5b+6)/(3bc))/((b^2-9)/(6bc))

The top expression given in the above fraction is Numerator and the bottom expression is called Denominator.

Now, multiply the numerator and denominator by
6bc ;


(6bc \cdot((b^2+5b+6)/(3bc)))/(6bc \cdot ((b^2-9)/(6bc)))

Simplify:


(b^2+5b+6)/(b^2-9)}

Now, Factor the numerator
b^2+5b+6 = (b+3)(b+2) and denominator
b^2-9 = (b-3)(b+3);


((b+3)(b+2))/((b+3)(b-3))}

Now, cancel the common factor (b+3) we get;


((b+3)(b+2))/((b+3)(b-3))} = (b+2)/(b-3)

Therefore, the simplify expression of
((b^2+5b+6)/(3bc))/((b^2-9)/(6bc)) is,
(b+2)/(b-3)





User Ianhi
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