If x + y + z = 0, show that x^3 + y^3 + z^3 = 3xyz (with Video)

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Ex 2.4

Ex 2.4, 1 (i)

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Ex 2.4, 1 (ii)

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Ex 2.4, 1 (iii) Important

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Ex 2.4, 1 (iv)

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Ex 2.4, 1 (v)

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Ex 2.4, 2 (i)

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Ex 2.4, 2 (ii) Important

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Ex 2.4, 2 (iii)

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Ex 2.4, 3 (i)

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Ex 2.4, 3 (ii) Important

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Ex 2.4, 3 (iii)

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Ex 2.4, 4 (i)

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Ex 2.4, 4 (ii)

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Ex 2.4, 4 (iii) Important

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Ex 2.4, 4 (iv)

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Ex 2.4, 4 (v)

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Ex 2.4, 4 (vi)

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Ex 2.4, 5 (i)

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Ex 2.4, 5 (ii) Important

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Ex 2.4, 6 (i)

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Ex 2.4, 6 (ii)

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Ex 2.4, 6 (iii)

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Ex 2.4, 6 (iv) Important

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Ex 2.4, 7 (i)

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Ex 2.4, 7 (ii)

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Ex 2.4, 7 (iii) Important

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Ex 2.4, 8 (i)

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Ex 2.4, 8 (ii)

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Ex 2.4, 8 (iii) Important

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Ex 2.4, 8 (iv) Important

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Ex 2.4, 8 (v)

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Ex 2.4, 9 (i)

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Ex 2.4, 9 (ii)

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Ex 2.4, 10 (i) Important

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Ex 2.4, 10 (ii)

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Ex 2.4, 11

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Ex 2.4,12 Important

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Ex 2.4,13 You are here

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Ex 2.4, 14 (i)

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Ex 2.4, 14 (ii) Important

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Ex 2.4, 15 (i)

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Ex 2.4, 15 (ii) Important

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Ex 2.4, 16 (i)

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Ex 2.4, 16 (ii) Important

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Ex 2.4,13 - Chapter 2 Class 9 Polynomials

Last updated at Dec. 13, 2024 by

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Transcript

Ex 2.4, 13 If x + y + z = 0, show that x3 + y3 + z3 = 3xyz . We know that x3 + y3 + z3 3xyz = (x + y + z) (x2 + y2 + z2 xy yz zx) Putting x + y + z = 0, x3 + y3 + z3 3xyz = (0) (x2 + y2 + z2 xy yz zx) x3 + y3 + z3 3xyz = 0 x3 + y3 + z3 = 3xyz Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo