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jolli1 [7]
3 years ago
8

Simplify the expression.

Mathematics
2 answers:
EleoNora [17]3 years ago
5 0

Answer:

Simplify the expression: \frac{\frac{b^2+5b+6}{3bc}}{\frac{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 ;

\frac{6bc \cdot(\frac{b^2+5b+6}{3bc})}{6bc \cdot (\frac{b^2-9}{6bc})}

Simplify:

\frac{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);

\frac{(b+3)(b+2)}{(b+3)(b-3)}}

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

\frac{(b+3)(b+2)}{(b+3)(b-3)}} = \frac{b+2}{b-3}

Therefore, the simplify expression of \frac{\frac{b^2+5b+6}{3bc}}{\frac{b^2-9}{6bc}} is, \frac{b+2}{b-3}





pashok25 [27]3 years ago
3 0

Answer:

b X + 2 X

6 b c - 18 c

Step-by-step explanation:


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