Question

L.C.M of x^3 -y^3 and x^6 - y^6 is​

Answer 1

Factorising x⁶ - y⁶

x⁶ - y⁶ = (x³ + y³)(x³ - y³)

LCM of x³ - y³ and (x³ + y³)(x³ - y³)

Let x³ - y³ = p

and x³ + y³ = q

Then, we have to find LCM of p and pq

clearly, lowest common multiple of p and pq is pq

Hence, LCM of x³ - y³ and x⁶ - y⁶ = (x³ + y³)(x³ - y³) = x⁶ - y⁶ only.