Question -
Answer -
The expression27x3+y3+z3тАУ9xyz┬аcanbe written as (3x)3+y3+z3тАУ3(3x)(y)(z)
27x3+y3+z3тАУ9xyz┬а = (3x)3+y3+z3тАУ3(3x)(y)(z)
We know that, x3+y3+z3тАУ3xyz =(x+y+z)(x2+y2+z2тАУxy тАУyzтАУzx)
27x3+y3+z3тАУ9xyz┬а = (3x)3+y3+z3тАУ3(3x)(y)(z)
= (3x+y+z)[(3x)2+y2+z2тАУ3xyтАУyzтАУ3xz]
= (3x+y+z)(9x2+y2+z2тАУ3xyтАУyzтАУ3xz)