Question

Find the product of (〖xyz)〗^2and (XY-yz+zx).​

Answer 1

Answer:

Solution



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(x−y−x)(x2+y2+z2+xy−yz+xz)

According to the equation,

a3−b3−c3−3abc=(a−b−c)(a2+b2+c2+ab−bc+ca)

The given question can be written as 

=(x3+xy2+x2y−xyz+x2z−x2y−y3−yz2−xy2+y2z−xyz−x2z−y2z−z3−xyz+yz2−xz2)

So we get,

=(x3−y3−z3−xyz−xyz−xyz)

=x3−y3−z3