Question

Find the lowest common denominator of the following fractions.

Answer 1

Answer:

(B) $24(y^2-1)$

Step-by-step explanation:

Given: The given following fractions are:

$\frac{y+5}{6y^2-6}$ and ${\frac{7}{8y+8}}$

To find: The lowest common denominator of the given fractions.

Solution: The given following fractions are:

$\frac{y+5}{6y^2-6}$ and ${\frac{7}{8y+8}}$

Simplifying the above fractions, we get

$\frac{y+5}{6(y^2-1)}$ and $\frac{7}{8(y+1)}$

Now, the lowest common denominator of the above fractions is:

$24(y+1)(y-1)$

=$24(y^2-1)$ (using identity $a^2-b^2=(a+b)(a-b)$)

Hence, option (B) is correct

Answer 2

I believe the answer is B, 24(y^2 - 1)