Question

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${x}^{3} + {y}^{3} = {z}^{3}$
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Answer 1

Answer:

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$x3+y3=z3 </p><p>⇒x3+y3+3x2y+3xy2+z3−3xyz−3x2y−3xy2=0</p><p></p><p>⇒(x+y)3+z3−3xy(x+y+z)=0</p><p></p><p>⇒(x+y+z)((x+y)2+z2−(x+y)z)−3xy(x+y+z)=0</p><p></p><p>⇒(x+y+z)(x2+2xy+y2+z2−xy−xz−3xy)=0</p><p></p><p>⇒(x+y+z)(x2+y2+z2−xy−yz−zx)=0</p><p></p><p>$