1). a2b2(a2 – b2)2). ab(a2 – b2)3). a2b2 + ab34). a3b3(a2 – b2) – InterviewSolution

InterviewSolution

1.

1). a2b2(a2 – b2)2). ab(a2 – b2)3). a2b2 + ab34). a3b3(a2 – b2)

Answer»

a³b - ab³ = ab(a² – b²) = ab(a + b)(a – b)- - - (1)

a³b² + a²b³ = a²b²(a + b)- - - (2)

ab(a + b)- - - (3)

From EQUATIONS (1), (2) and (3), we get,

LCM = ab(a + b) × ab × (a – b) = a²b²(a² – b²)

∴ LCM of a³b - ab³, a³b² + a²b³ and ab(a + b) = a²b²(a² – b²)

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