Question

Expand : ( x + y + z ) ( x^2 + y^2 + z^2 − xy − yz − zx )

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

first term- x+y+z

second term- x2 +y2 +z2 -xy -yz -zx

multiply first with second

x(x2 + y2 + z2 - xy -yz -zx) +

y (x2 + y2 + z2 - xy -yz -zx) +

z(x2 + y2 + z2 - xy -yz -zx) =0

x3 + xy2 +xz2 - x2y -xyz -x2z +x2y + y3 +yz2 - xy2 - y2z - xyz + x2z + y2z +z3 - xyz - yz2 -xz2 =0

x3 +y3 +z3 -3xyz =0

x3 + y3 + z3 = 3xyz