Find the lowest common denominator of the following fractions. y+5/6y^2-6 and 7/8y+8 A. 24y 2 B. 24(y 2 - 1) C. 24(y 2 - 1)(y + 1)

Question

asked May 12, 2018 118k views

2 Answers

Arun Krishnan · Answer 1 · 2018-05-18T03:00:01+0000

Answer:

(B)
24(y^2-1)

Explanation:

Given: The given following fractions are:

(y+5)/(6y^2-6) and
{(7)/(8y+8)}

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

Solution: The given following fractions are:

(y+5)/(6y^2-6) and
{(7)/(8y+8)}

Simplifying the above fractions, we get

(y+5)/(6(y^2-1)) and
(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