Question

L.C.M of x2 + 3x + 2 and x2 + 4x + 3

Answer 1

Explanation:

1st expression

x2 + 3x + 2

x²+2x+x+2

x(x+2)+1(x+2)

(x+2)(x+1)

2nd expression

x2 + 4x + 3

x²+3x+x+3

x(x+3)+1(x+3)

(x+3)(x+1)

L.C.M=(x+1)(x+2)(x+3)

Answer 2

Explanation:

x^2 + 3x + 2 = (x+1)(x+2)

x^2 + 4x + 3 = (x+1)(x+3)

LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6