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Question

Factorise:
27x3 – y3 – z3 – 9xyz

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Solution

27x3-y3z39xyz=3x3-y3-z3-3×3x×-y×-zWe know, a3+b3+c3-3abc=a+b+ca2+b2+c2-ab-bc-caa=3x,b=-y,c=-z3x3-y3-z3-3×3x×-y×-z=3x-y-z9x2+y2+z2+3xy-yz+3xz

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