Question

The product of two expression is (x-7) (x²+8x+12). If their heighest common factor
HCF is (x+6) then find their least common multiple (LCM).
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Answer 1

Answer:

(X -7)(X +2) = x^2 -5x -14

Step-by-step explanation:

formula - H.C.F ×L.C.M = PRODUCT

THEN

( X +6 ) . L.c.m = ( X -7)(X ^2 +8x + 12)

(x^2 + 8x + 12 ) = (X + 6)(X +2)

now,

L.C.M = (X +6)(X +2)(X -7)/ (X +6)

L.CM = (X +2)(X - 7)

L.CM = x^2 - 5x -14