Question

27x cube + y cube - z cube + 9xyz

Answer 1

Student please make sure that the question is complete here you have only given an incomplete equation because you have not privided equals to zero or something like that please make it sure


The factorised form of the polynomial is given below

Consider, 27x3 + y3 + z3 - 9xyz
= (3x)3 + y3 + z3 - 3 × (3x) × y × z
= [3x + y + z ][(3x)2 + y2 + z2 - (3x) × y − y × z − z(3x)] [Since (a + b + c )(a2 + y2 + z2 - ab−bc−ca)]
= [3x + y + z ][9x2 + y2 + z2 - 3xy − yz − 3zx]