Question 83 (viii)

Multiply the following:
$x^{2} y^{2} z^{2}$ and (xy - yz + zx)

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Solution

We have, $x^{2} y^{2} z^{2}$ and (xy - yz + zx)
$∴ x^{2} y^{2} z^{2} \times (x y - y z + z x) = x^{2} y^{2} z^{2} \times x y - x^{2} y^{2} z^{2} \times y z + x^{2} y^{2} z^{2} \times z x$
$= x^{3} y^{3} z^{2} - x^{2} y^{3} z^{3} + x^{3} y^{2} z^{3}$

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