Question

the L.C.Mof (3x²+9x+6) and (x²-3x-10) is​

Answer 1

(3x²+9x+6)

= 3x^2 + 6x + 3x + 6

= 3x(x + 2) + 3(x + 2)

= (x + 2) (3x + 3)

(x²-3x-10)

= x^2 - 5x + 2x -10

= x(x - 5) + 2(x -5)

= (x - 5) (x + 2)

L.C.M

= (x + 2) (3x + 3) (x - 5)

= 3 (x + 1) (x + 2) (x - 5) (ans.)