Answer :

Answer:

49b^2 -36 = (7b -6)(7b +6)

so because there you missed some signs in these wrote choices  

hope helped  

Step-by-step explanation:

Answer:

[tex](b+1)^2(b+6)[/tex]

Step-by-step explanation:

The given rational expression is:

[tex]\frac{b}{b^2+2b+1}-\frac{6}{b^2+7b+6}[/tex]

We factor the denominators to get:

[tex]\frac{b}{(b+1)^2}-\frac{6}{(b+1)(b+6)}[/tex]

The least common denominator is the product of the highest powers of the common factors of the denominators.

Therefore the least common denominator is:

[tex](b+1)^2(b+6)[/tex]

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