Question

what is the lcm of(6x³+60x²+150x)and(3x4+12x³-15x²)?​

Answer 1

6x

3

+60x

2

+150x

=6x(x

2

+10x+25)=6x(x+5)

2

.....(i)

3x

4

+12x

3

−15x

2

=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)