suppose that the expressions given denominators of fractions.Find the lcd

Question

y2-144,Y2-24Y+144

Answer 1

Factor each:

  y² - 144 is the "difference of two squares". It factors into (y-12)(y+12)

 

  y² - 24y + 144 easily factors into (y-12)(y-12)

 

The LCD is therefore (y-12)(y-12)(y+12) 

Answer 2

factor the polynomials

y^2-144=(y-12)(y+12)

y^2-24y+144=(y-12)(y-12)

LCM or LCD=(y-12)(y-12)(y+12)