What is the least common denominator of the expression below? g^2 14+g
_ + _
9-g^2 24g+8g^2

Greetings from Brasil...

from notable products:

A² - B² = (A + B)·(A - B)

bringing to our problem:

9 - G² = (3 + G)·(3 - G)

Factoring 24G + 8G²:

8G(3 + G)

So, we have:

{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}

So the  least common denominator is: 3 + G

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363