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<html><body><h2 id="content-id-8751024963-2"><b>Algebra Questions Overview</b></h2><p>Algebra Questions have a good weightage in the Selection Post 12th English Exam and the type of question asked in Selection Post 12th English exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Algebra Questions.</p><h2 id="content-id-4652798301-3"><b>Question On Algebra </b></h2>If x1/3 + y1/3 - z1/3 = 0, then find the value of (x + y - z)3 + 27 xyz.
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 31 Seconds </h3></div></div><h2 id="content-id-6832745109-4"><b> Algebra Questions Options</b></h2><ol><li><p>-z<sup>3</sup></p>
</li><li><p>0</p>
</li><li><p>z<sup>2</sup></p>
</li><li><p>-y<sup>2</sup></p>
</li></ol> <h2 id="content-id-8395716420-5"><b> Algebra Questions Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e. <strong>0.</strong></p>

<p>We know that,</p>

<p>If (a + b + c) = 0 then, (a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> = 3abc)</p>

<p>Now,</p>

<p>x<sup>1/3</sup> + y<sup>1/3</sup> - z<sup>1/3</sup> = 0</p>

<p>⇒ (x + y - z) = -3 (xyz)<sup>1/3</sup></p>

<p>⇒ (x + y - z)<sup>3</sup> = -27 xyz</p>

<p>⇒ (x + y - z)<sup>3</sup> + 27 xyz = 0</p>
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The correct answer is Option 2 i.e. 0.  - Algebra Questions are asked in Selection Post 12th English exams and your question has been explained by experts like Neetu Mam.

If x1 3 y1 3 - z1 3 0 - Algebra Questions for Selection Post 12th English

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