Question

Find the LCM of y^2 - 49 and y^2 + 9y + 14

Answer 1

I cam up with (y+7)(y-7)(y+7) but that isn't right.

Answer 2

y^2 - 49 = y^2 - 7^2 = (y + 7)(y - 7)
y^2 + 9y + 14 = (y + 7)(y + 2)

LCM = (y^2 - 49)*(y^2 + 9y + 14)/(y + 7)
= (y + 7)(y - 7) (y + 7)(y + 2)/(y + 7)

LCM = (y + 7)(y - 7)(y + 2)

Answer 3

y^2 - 49 = (y+7)(y-7)

y^2 + 9y + 14 = (y+7)(y+2)


collect unique factors and combine them to get the LCM of


(y+7)(y-7)(y+2)

Answer 4

Dang, I almost put that! thanks again. I was close, but no cigar.