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If x = y + z then x³ - y³ - z³ is?

10
23xyz
3-3xyz
41

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Given , x = y + z \\ ∴ x - y - z = 0 \\ Then x^{3} - y^{3} - z^{3} = 3 x y z \end{aligned}

$\eqalign{ & {\text{Given , }}x = y + z \cr & \therefore x - y - z = 0 \cr & {\text{Then }}{x^3} - {y^3} - {z^3} = 3xyz \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Given , x = y + z \\ ∴ x - y - z = 0 \\ Then x^{3} - y^{3} - z^{3} = 3 x y z \end{aligned}

$\eqalign{ & {\text{Given , }}x = y + z \cr & \therefore x - y - z = 0 \cr & {\text{Then }}{x^3} - {y^3} - {z^3} = 3xyz \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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