Math, asked by aahilsamal960, 1 year ago

answer it fast and i will definitely mark it as brainliest

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Answers

Answered by SUGA73
0
Soln-

a¹/³ + b ¹/³ + c ¹/³ = 0

=» (a¹/³)³ + (b ¹/³)³ + (c ¹/³)³

. . . .=3(a¹/³)(b¹/³)(c¹/³)

=» a + b + c = 3a¹/³b¹/³c¹/³
Answered by BrainlyYuVa
5

⭐Solution⭐

given here

³a + ³b + ³c = 0......(1)

Find here

(a+b+c)³ =

We know ,

(x+y+x)³= (x³+y³+z³)+3(x+y)(y+z)(z+x)

So,

by (1),

(³a + ³b +³c)³

= (³a)³ + (³b)³ + (³c)³ + 3(³a + ³b)(³b + ³c)(³c + ³a)

= (a+b+c) + 3(³√a + ³√b)(³√b + ³√c)(³√c + ³√a)........(2)

keep value by (1)

(0) = (a+b+c) + 3(³√a + ³√b)(³√b + ³√c)(³√c + ³√a)

=> (a+b+c) + 3(³√a + ³√b)(³√b + ³√c)(³√c + ³√a) = 0

Hopes it's right and helps u.

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