Question

What is the lcm of 6x3+60x2+150x and 3x4+12x3-15x2

Answer 1

Answer:

Step-by-step explanation:

6x  

3

+60x  

2

+150x

= 6x (x^{2} + 10x + 25) = 6x(x + 5)^{2} ..... (i)=6x(x  

2

+10x+25)=6x(x+5)  

2

.....(i)

3x^{4} + 12x^{3} - 15x^{2}3x  

4

+12x  

3

−15x  

2

 

= 3x^{2} (x^{2} + 4x - 5) = 3x^{2} (x - 1)(x + 5) ..... (ii)=3x  

2

(x  

2

+4x−5)=3x  

2

(x−1)(x+5).....(ii)

Clearly L.C.M. of (i) and (ii) is

6x^{2} (x + 5)^{2} (x - 1)6x  

2

(x+5)  

2

(x−1)