Question

lcm of x^3 -1 and x^2 +x +1​

Answer 1

Answer:

x³-1

Step-by-step explanation:

x³-1

=x³-1³

We know that,

a³-b³=(a-b)(a²+ab+b²)

Here,

a=x and b=1

Therefore,

x³-1=(x-1)(x²+x+1)

x²+x+1=x²+x+1

LCM=(x²+x+1)(x-1)

=x³-1