L.C.M of x^3 -y^3 and x^6 - y^6 is

1.	L.C.M of x^3 -y^3 and x^6 - y^6 is
Answer» <P>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.

Answer»

<P>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.

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L.C.M of x^3 -y^3 and x^6 - y^6 is​

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L.C.M of x^3 -y^3 and x^6 - y^6 is