Answer:
(B) [tex]24(y^2-1)[/tex]
Step-by-step explanation:
Given: The given following fractions are:
[tex]\frac{y+5}{6y^2-6}[/tex] and [tex]{\frac{7}{8y+8}}[/tex]
To find: The lowest common denominator of the given fractions.
Solution: The given following fractions are:
[tex]\frac{y+5}{6y^2-6}[/tex] and [tex]{\frac{7}{8y+8}}[/tex]
Simplifying the above fractions, we get
[tex]\frac{y+5}{6(y^2-1)}[/tex] and [tex]\frac{7}{8(y+1)}[/tex]
Now, the lowest common denominator of the above fractions is:
[tex]24(y+1)(y-1)[/tex]
=[tex]24(y^2-1)[/tex] (using identity [tex]a^2-b^2=(a+b)(a-b)[/tex])
Hence, option (B) is correct
