Find the LCM of (x + 3)(6x2 + 5x+ 4) and (2x2 + 7x + 3) (x + 3) - Maths - Arithmetic Progressions

Question

Find the LCM of (x + 3)(6x2 + 5x+ 4) and
(2x2 + 7x + 3) (x + 3)

(A)

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

(B)

(4x2 – 1) (x + 3)2 (3x + 4)

(C)

(4x2 – 1) (x + 3) (3x + 4)

(D)

(2x – 1) (x – 3) (3x + 4)

Hint:

ramandeep.singh · Accepted Answer

If the question is to find the L C M of (x + 3)(6x2 + 5x - 4) and (2x2 + 7x + 3) (x + 3), then the solution is shown below: $(x + 3) (6 x^{2} + 5 x - 4) = (x + 3) (6 x^{2} - 3 x + 8 x - 4) = (x + 3) [3 x (2 x - 1) + 4 (2 x - 1)] = (x + 3) (3 x + 4) (2 x - 1) (2 x^{2} + 7 x + 3) (x + 3) = (2 x^{2} + 6 x + x + 3) (x + 3) = [2 x (x + 3) + 1 (x + 3)] (x + 3) = (2 x + 1) (x + 3)^{2}$ âˆ´L C M of (x + 3)(6x2 + 5x - 4) and (2x2 + 7x + 3) (x + 3) = $(x + 3)^{2} (3 x + 4) (2 x - 1) (2 x + 1)$ = $(x + 3)^{2} (3 x + 4) (4 x^{2} - 1)$ The correct answer is option (B)

(A)	(2x + 1) (x + 3) (3x + 4)	(B)	(4x² – 1) (x + 3)² (3x + 4)
(C)	(4x² – 1) (x + 3) (3x + 4)	(D)	(2x – 1) (x – 3) (3x + 4)

Find the LCM of (x + 3)(6x2 + 5x+ 4) and (2x2 + 7x + 3) (x + 3) (A) (2x + 1) (x + 3) (3x + 4) (B) (4x2 – 1) (x + 3)2 (3x + 4) (C) (4x2 – 1) (x + 3) (3x + 4) (D) (2x – 1) (x – 3) (3x + 4) Hint:

Find the LCM of (x + 3)(6x² + 5x+ 4) and (2x² + 7x + 3) (x + 3)

(A)
(2x + 1) (x + 3) (3x + 4)
(B)
(4x² – 1) (x + 3)² (3x + 4)

(C)
(4x² – 1) (x + 3) (3x + 4)
(D)
(2x – 1) (x – 3) (3x + 4)

Hint: