Question

Please help! What is the common denominator?

Answer 1

4(x+6)(x-2)
Explanation:
Since 1? + 42 - 12 = (‡ +6)(» - 2)
and 45 - 8 = 4(2 - 2)
, both of which contain the factor - 2
, then the common denominator the two fractions will share is 4(2 + 6)(2 - 2)
• Be careful not to square « - 2 in this case!

Answer 2

4(x+6)(x-2)

Explanation:

Since
`x^2+4x-12=(x+6)(x-2)` and
`4x-8=4(x-2)`, both of which contain the factor
`x-2`, then the common denominator the two fractions will share is
`4(x+6)(x-2)`. Be careful not to square
`x-2` in this case!